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What is the Least Common Multiple of 8124 and 8130?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 8124 and 8130 is 11008020.

LCM(8124,8130) = 11008020

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Least Common Multiple of 8124 and 8130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8124 and 8130, than apply into the LCM equation.

GCF(8124,8130) = 6
LCM(8124,8130) = ( 8124 × 8130) / 6
LCM(8124,8130) = 66048120 / 6
LCM(8124,8130) = 11008020

Least Common Multiple (LCM) of 8124 and 8130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8124 and 8130. First we will calculate the prime factors of 8124 and 8130.

Prime Factorization of 8124

Prime factors of 8124 are 2, 3, 677. Prime factorization of 8124 in exponential form is:

8124 = 22 × 31 × 6771

Prime Factorization of 8130

Prime factors of 8130 are 2, 3, 5, 271. Prime factorization of 8130 in exponential form is:

8130 = 21 × 31 × 51 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 8124 and 8130.

LCM(8124,8130) = 22 × 31 × 6771 × 51 × 2711
LCM(8124,8130) = 11008020