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What is the Least Common Multiple of 57089 and 57108?

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 57089 and 57108 is 3260238612.

LCM(57089,57108) = 3260238612

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Least Common Multiple of 57089 and 57108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57089 and 57108, than apply into the LCM equation.

GCF(57089,57108) = 1
LCM(57089,57108) = ( 57089 × 57108) / 1
LCM(57089,57108) = 3260238612 / 1
LCM(57089,57108) = 3260238612

Least Common Multiple (LCM) of 57089 and 57108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57089 and 57108. First we will calculate the prime factors of 57089 and 57108.

Prime Factorization of 57089

Prime factors of 57089 are 57089. Prime factorization of 57089 in exponential form is:

57089 = 570891

Prime Factorization of 57108

Prime factors of 57108 are 2, 3, 4759. Prime factorization of 57108 in exponential form is:

57108 = 22 × 31 × 47591

Now multiplying the highest exponent prime factors to calculate the LCM of 57089 and 57108.

LCM(57089,57108) = 570891 × 22 × 31 × 47591
LCM(57089,57108) = 3260238612