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What is the Least Common Multiple of 54123 and 54130?

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 54123 and 54130 is 2929677990.

LCM(54123,54130) = 2929677990

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Least Common Multiple of 54123 and 54130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54123 and 54130, than apply into the LCM equation.

GCF(54123,54130) = 1
LCM(54123,54130) = ( 54123 × 54130) / 1
LCM(54123,54130) = 2929677990 / 1
LCM(54123,54130) = 2929677990

Least Common Multiple (LCM) of 54123 and 54130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54123 and 54130. First we will calculate the prime factors of 54123 and 54130.

Prime Factorization of 54123

Prime factors of 54123 are 3, 18041. Prime factorization of 54123 in exponential form is:

54123 = 31 × 180411

Prime Factorization of 54130

Prime factors of 54130 are 2, 5, 5413. Prime factorization of 54130 in exponential form is:

54130 = 21 × 51 × 54131

Now multiplying the highest exponent prime factors to calculate the LCM of 54123 and 54130.

LCM(54123,54130) = 31 × 180411 × 21 × 51 × 54131
LCM(54123,54130) = 2929677990