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What is the Least Common Multiple of 54057 and 54064?

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 54057 and 54064 is 2922537648.

LCM(54057,54064) = 2922537648

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Least Common Multiple of 54057 and 54064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54057 and 54064, than apply into the LCM equation.

GCF(54057,54064) = 1
LCM(54057,54064) = ( 54057 × 54064) / 1
LCM(54057,54064) = 2922537648 / 1
LCM(54057,54064) = 2922537648

Least Common Multiple (LCM) of 54057 and 54064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54057 and 54064. First we will calculate the prime factors of 54057 and 54064.

Prime Factorization of 54057

Prime factors of 54057 are 3, 37, 487. Prime factorization of 54057 in exponential form is:

54057 = 31 × 371 × 4871

Prime Factorization of 54064

Prime factors of 54064 are 2, 31, 109. Prime factorization of 54064 in exponential form is:

54064 = 24 × 311 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 54057 and 54064.

LCM(54057,54064) = 31 × 371 × 4871 × 24 × 311 × 1091
LCM(54057,54064) = 2922537648