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What is the Least Common Multiple of 94625 and 94635?

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 94625 and 94635 is 1790967375.

LCM(94625,94635) = 1790967375

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Least Common Multiple of 94625 and 94635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94625 and 94635, than apply into the LCM equation.

GCF(94625,94635) = 5
LCM(94625,94635) = ( 94625 × 94635) / 5
LCM(94625,94635) = 8954836875 / 5
LCM(94625,94635) = 1790967375

Least Common Multiple (LCM) of 94625 and 94635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94625 and 94635. First we will calculate the prime factors of 94625 and 94635.

Prime Factorization of 94625

Prime factors of 94625 are 5, 757. Prime factorization of 94625 in exponential form is:

94625 = 53 × 7571

Prime Factorization of 94635

Prime factors of 94635 are 3, 5, 701. Prime factorization of 94635 in exponential form is:

94635 = 33 × 51 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 94625 and 94635.

LCM(94625,94635) = 53 × 7571 × 33 × 7011
LCM(94625,94635) = 1790967375