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What is the Least Common Multiple of 54904 and 54920?

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 54904 and 54920 is 376915960.

LCM(54904,54920) = 376915960

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Least Common Multiple of 54904 and 54920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54904 and 54920, than apply into the LCM equation.

GCF(54904,54920) = 8
LCM(54904,54920) = ( 54904 × 54920) / 8
LCM(54904,54920) = 3015327680 / 8
LCM(54904,54920) = 376915960

Least Common Multiple (LCM) of 54904 and 54920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54904 and 54920. First we will calculate the prime factors of 54904 and 54920.

Prime Factorization of 54904

Prime factors of 54904 are 2, 6863. Prime factorization of 54904 in exponential form is:

54904 = 23 × 68631

Prime Factorization of 54920

Prime factors of 54920 are 2, 5, 1373. Prime factorization of 54920 in exponential form is:

54920 = 23 × 51 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 54904 and 54920.

LCM(54904,54920) = 23 × 68631 × 51 × 13731
LCM(54904,54920) = 376915960