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What is the Least Common Multiple of 94072 and 94089?

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 94072 and 94089 is 8851140408.

LCM(94072,94089) = 8851140408

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Least Common Multiple of 94072 and 94089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94072 and 94089, than apply into the LCM equation.

GCF(94072,94089) = 1
LCM(94072,94089) = ( 94072 × 94089) / 1
LCM(94072,94089) = 8851140408 / 1
LCM(94072,94089) = 8851140408

Least Common Multiple (LCM) of 94072 and 94089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94072 and 94089. First we will calculate the prime factors of 94072 and 94089.

Prime Factorization of 94072

Prime factors of 94072 are 2, 11, 1069. Prime factorization of 94072 in exponential form is:

94072 = 23 × 111 × 10691

Prime Factorization of 94089

Prime factors of 94089 are 3, 79, 397. Prime factorization of 94089 in exponential form is:

94089 = 31 × 791 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 94072 and 94089.

LCM(94072,94089) = 23 × 111 × 10691 × 31 × 791 × 3971
LCM(94072,94089) = 8851140408