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What is the Least Common Multiple of 54856 and 54872?

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 54856 and 54872 is 376257304.

LCM(54856,54872) = 376257304

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Least Common Multiple of 54856 and 54872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54856 and 54872, than apply into the LCM equation.

GCF(54856,54872) = 8
LCM(54856,54872) = ( 54856 × 54872) / 8
LCM(54856,54872) = 3010058432 / 8
LCM(54856,54872) = 376257304

Least Common Multiple (LCM) of 54856 and 54872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54856 and 54872. First we will calculate the prime factors of 54856 and 54872.

Prime Factorization of 54856

Prime factors of 54856 are 2, 6857. Prime factorization of 54856 in exponential form is:

54856 = 23 × 68571

Prime Factorization of 54872

Prime factors of 54872 are 2, 19. Prime factorization of 54872 in exponential form is:

54872 = 23 × 193

Now multiplying the highest exponent prime factors to calculate the LCM of 54856 and 54872.

LCM(54856,54872) = 23 × 68571 × 193
LCM(54856,54872) = 376257304