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

You are watching: Least common multiple of 8 and 14

 1 LCM that 8 and 14 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM the 8 and 14 is 56. Explanation:

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

The approaches to find the LCM the 8 and also 14 are explained below.

By division MethodBy Listing MultiplesBy prime Factorization Method

### LCM that 8 and also 14 by department Method To calculate the LCM of 8 and 14 by the division method, we will certainly divide the numbers(8, 14) by their prime components (preferably common). The product of these divisors gives the LCM the 8 and 14.

Step 3: continue the procedures until just 1s room left in the critical row.

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

### LCM of 8 and 14 by Listing Multiples To calculation the LCM that 8 and 14 through listing the end the usual multiples, we have the right to follow the given below steps:

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

∴ The least common multiple that 8 and 14 = 56.

See more: What Is The Difference Between A Pixie And A Fairy (With Pictures)

### LCM of 8 and 14 by element Factorization

Prime factorization of 8 and 14 is (2 × 2 × 2) = 23 and (2 × 7) = 21 × 71 respectively. LCM that 8 and 14 have the right to be derived by multiply prime components raised to their respective greatest power, i.e. 23 × 71 = 56.Hence, the LCM that 8 and also 14 by prime factorization is 56.