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What is the Least Common Multiple of 57078 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 57078 and 57089 is 3258525942.

LCM(57078,57089) = 3258525942

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Least Common Multiple of 57078 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 57078 and 57089, than apply into the LCM equation.

GCF(57078,57089) = 1
LCM(57078,57089) = ( 57078 × 57089) / 1
LCM(57078,57089) = 3258525942 / 1
LCM(57078,57089) = 3258525942

Least Common Multiple (LCM) of 57078 and 57089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57078 and 57089. First we will calculate the prime factors of 57078 and 57089.

Prime Factorization of 57078

Prime factors of 57078 are 2, 3, 7, 151. Prime factorization of 57078 in exponential form is:

57078 = 21 × 33 × 71 × 1511

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 57078 and 57089.

LCM(57078,57089) = 21 × 33 × 71 × 1511 × 570891
LCM(57078,57089) = 3258525942