LCM of 8 and also 14 is the smallest number amongst all usual multiples that 8 and also 14. The first few multiples that 8 and also 14 room (8, 16, 24, 32, 40, 48, . . . ) and (14, 28, 42, 56, 70, . . . ) respectively. There space 3 generally used techniques to find LCM that 8 and also 14 - by department method, through listing multiples, and by prime factorization.

You are watching: Lowest common multiple of 8 and 14

1.LCM that 8 and also 14
2.List of 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 y(14), is the smallest confident integer m(56) the is divisible by both x(8) and also y(14) without any type of remainder.


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

By department MethodBy Listing MultiplesBy element Factorization Method

LCM that 8 and 14 by division Method

*

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

Step 3: proceed the measures until only 1s are left in the last row.

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

LCM the 8 and also 14 by Listing Multiples

*

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

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

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

See more: What Two Items Must Be Equal For A Nuclear Equation To Be Balanced ?

LCM of 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 deserve to be acquired by multiplying prime components raised to your respective highest power, i.e. 23 × 71 = 56.Hence, the LCM of 8 and 14 by prime factorization is 56.