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What is the Least Common Multiple of 54108 and 54125?

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 54108 and 54125 is 2928595500.

LCM(54108,54125) = 2928595500

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Least Common Multiple of 54108 and 54125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54108 and 54125, than apply into the LCM equation.

GCF(54108,54125) = 1
LCM(54108,54125) = ( 54108 × 54125) / 1
LCM(54108,54125) = 2928595500 / 1
LCM(54108,54125) = 2928595500

Least Common Multiple (LCM) of 54108 and 54125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54108 and 54125. First we will calculate the prime factors of 54108 and 54125.

Prime Factorization of 54108

Prime factors of 54108 are 2, 3, 167. Prime factorization of 54108 in exponential form is:

54108 = 22 × 34 × 1671

Prime Factorization of 54125

Prime factors of 54125 are 5, 433. Prime factorization of 54125 in exponential form is:

54125 = 53 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 54108 and 54125.

LCM(54108,54125) = 22 × 34 × 1671 × 53 × 4331
LCM(54108,54125) = 2928595500