LCM of 8 and also 14 is the smallest number among all usual multiples the 8 and also 14. The first few multiples the 8 and also 14 room (8, 16, 24, 32, 40, 48, . . . ) and (14, 28, 42, 56, 70, . . . ) respectively. There space 3 commonly used methods to uncover LCM of 8 and also 14 - by division method, through listing multiples, and by element factorization.

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

Answer: LCM of 8 and also 14 is 56. Explanation:

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

The approaches to discover the LCM of 8 and also 14 are described below.

By division MethodBy Listing MultiplesBy prime Factorization Method

### LCM the 8 and 14 by department Method To calculate the LCM the 8 and 14 through the department method, we will divide the numbers(8, 14) by your prime factors (preferably common). The product of this divisors gives the LCM the 8 and also 14.

Step 3: continue the steps until just 1s room left in the last row.

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

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

Step 1: list a few multiples the 8 (8, 16, 24, 32, 40, 48, . . . ) and also 14 (14, 28, 42, 56, 70, . . . . )Step 2: The common multiples native the multiples of 8 and 14 room 56, 112, . . .Step 3: The smallest typical multiple that 8 and 14 is 56.

∴ The least usual multiple that 8 and also 14 = 56.

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### LCM of 8 and 14 by prime Factorization

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