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What is the Least Common Multiple of 94625 and 94632?

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 94632 is 8954553000.

LCM(94625,94632) = 8954553000

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Least Common Multiple of 94625 and 94632 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 94632, than apply into the LCM equation.

GCF(94625,94632) = 1
LCM(94625,94632) = ( 94625 × 94632) / 1
LCM(94625,94632) = 8954553000 / 1
LCM(94625,94632) = 8954553000

Least Common Multiple (LCM) of 94625 and 94632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94625 and 94632. First we will calculate the prime factors of 94625 and 94632.

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 94632

Prime factors of 94632 are 2, 3, 3943. Prime factorization of 94632 in exponential form is:

94632 = 23 × 31 × 39431

Now multiplying the highest exponent prime factors to calculate the LCM of 94625 and 94632.

LCM(94625,94632) = 53 × 7571 × 23 × 31 × 39431
LCM(94625,94632) = 8954553000