LCM of 8 and 14 is the the smallest number amongst all typical multiples that 8 and 14. The first couple of multiples the 8 and also 14 room (8, 16, 24, 32, 40, 48, . . . ) and also (14, 28, 42, 56, 70, . . . ) respectively. There space 3 typically used techniques to find LCM that 8 and 14 - by division method, by listing multiples, and by element factorization.

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1.LCM of 8 and 14
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM that 8 and 14 is 56.

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Explanation:

The LCM of two non-zero integers, x(8) and also y(14), is the smallest optimistic integer m(56) the is divisible by both x(8) and y(14) without any kind of remainder.


The approaches to find the LCM that 8 and 14 are described below.

By division MethodBy Listing MultiplesBy prime Factorization Method

LCM that 8 and 14 by department Method

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To calculate the LCM that 8 and 14 by the department method, we will certainly divide the numbers(8, 14) by their prime determinants (preferably common). The product of this divisors gives the LCM of 8 and 14.

Step 3: proceed the steps until just 1s space left in the last row.

The LCM that 8 and 14 is the product of all prime number on the left, i.e. LCM(8, 14) by division method = 2 × 2 × 2 × 7 = 56.

LCM that 8 and 14 by Listing Multiples

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To calculation the LCM of 8 and 14 by listing out the typical multiples, we have the right to follow the given listed below steps:

Step 1: list a couple of multiples of 8 (8, 16, 24, 32, 40, 48, . . . ) and 14 (14, 28, 42, 56, 70, . . . . )Step 2: The usual multiples indigenous the multiples that 8 and 14 are 56, 112, . . .Step 3: The smallest usual multiple the 8 and 14 is 56.

∴ The least usual multiple of 8 and 14 = 56.

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LCM the 8 and 14 by element Factorization

Prime factorization of 8 and 14 is (2 × 2 × 2) = 23 and also (2 × 7) = 21 × 71 respectively. LCM the 8 and 14 can be obtained by multiplying prime determinants raised to their respective greatest power, i.e. 23 × 71 = 56.Hence, the LCM of 8 and 14 by element factorization is 56.