LCM of 12 and 15 is the the smallest number amongst all common multiples of 12 and 15. The first couple of multiples of 12 and 15 are (12, 24, 36, 48, 60, 72, 84, . . . ) and also (15, 30, 45, 60, . . . ) respectively. There room 3 generally used techniques to discover LCM of 12 and 15 - by department method, by element factorization, and by listing multiples.

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1.LCM of 12 and also 15
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and also 15 is 60.

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Explanation:

The LCM of two non-zero integers, x(12) and also y(15), is the smallest confident integer m(60) the is divisible by both x(12) and y(15) without any type of remainder.


The techniques to uncover the LCM that 12 and 15 are described below.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM that 12 and also 15 through Listing Multiples

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To calculate the LCM of 12 and also 15 through listing the end the usual multiples, we deserve to follow the given below steps:

Step 1: list a few multiples that 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and also 15 (15, 30, 45, 60, . . . . )Step 2: The usual multiples indigenous the multiples that 12 and also 15 room 60, 120, . . .Step 3: The smallest typical multiple of 12 and also 15 is 60.

∴ The least typical multiple that 12 and also 15 = 60.

LCM that 12 and 15 by prime Factorization

Prime administer of 12 and also 15 is (2 × 2 × 3) = 22 × 31 and also (3 × 5) = 31 × 51 respectively. LCM of 12 and also 15 can be obtained by multiplying prime factors raised to your respective highest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM of 12 and 15 by element factorization is 60.

LCM of 12 and also 15 by department Method

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To calculation the LCM the 12 and also 15 through the department method, we will certainly divide the numbers(12, 15) by your prime factors (preferably common). The product of this divisors provides the LCM the 12 and 15.

Step 3: continue the measures until just 1s space left in the last row.

The LCM the 12 and 15 is the product of every prime number on the left, i.e. LCM(12, 15) by division method = 2 × 2 × 3 × 5 = 60.

☛ likewise Check:


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FAQs ~ above LCM the 12 and also 15

What is the LCM of 12 and 15?

The LCM of 12 and 15 is 60. To find the least typical multiple (LCM) of 12 and 15, we need to find the multiples the 12 and 15 (multiples of 12 = 12, 24, 36, 48 . . . . 60; multiples of 15 = 15, 30, 45, 60) and also choose the the smallest multiple the is precisely divisible by 12 and also 15, i.e., 60.

Which the the adhering to is the LCM the 12 and 15? 36, 60, 35, 11

The value of LCM that 12, 15 is the smallest typical multiple that 12 and 15. The number satisfying the given condition is 60.

If the LCM the 15 and 12 is 60, find its GCF.

LCM(15, 12) × GCF(15, 12) = 15 × 12Since the LCM of 15 and also 12 = 60⇒ 60 × GCF(15, 12) = 180Therefore, the greatest typical factor = 180/60 = 3.

How to discover the LCM of 12 and 15 by element Factorization?

To uncover the LCM the 12 and 15 utilizing prime factorization, us will discover the prime factors, (12 = 2 × 2 × 3) and (15 = 3 × 5). LCM that 12 and 15 is the product that prime determinants raised to their respective greatest exponent among the number 12 and also 15.⇒ LCM the 12, 15 = 22 × 31 × 51 = 60.

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What is the Relation between GCF and also LCM the 12, 15?

The adhering to equation have the right to be provided to to express the relation between GCF and LCM that 12 and 15, i.e. GCF × LCM = 12 × 15.