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What is the Least Common Multiple of 57072 and 57089?

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 57072 and 57089 is 3258183408.

LCM(57072,57089) = 3258183408

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Least Common Multiple of 57072 and 57089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57072 and 57089, than apply into the LCM equation.

GCF(57072,57089) = 1
LCM(57072,57089) = ( 57072 × 57089) / 1
LCM(57072,57089) = 3258183408 / 1
LCM(57072,57089) = 3258183408

Least Common Multiple (LCM) of 57072 and 57089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57072 and 57089. First we will calculate the prime factors of 57072 and 57089.

Prime Factorization of 57072

Prime factors of 57072 are 2, 3, 29, 41. Prime factorization of 57072 in exponential form is:

57072 = 24 × 31 × 291 × 411

Prime Factorization of 57089

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

57089 = 570891

Now multiplying the highest exponent prime factors to calculate the LCM of 57072 and 57089.

LCM(57072,57089) = 24 × 31 × 291 × 411 × 570891
LCM(57072,57089) = 3258183408