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What is the Least Common Multiple of 94716 and 94725?

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 94716 and 94725 is 996885900.

LCM(94716,94725) = 996885900

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Least Common Multiple of 94716 and 94725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94716 and 94725, than apply into the LCM equation.

GCF(94716,94725) = 9
LCM(94716,94725) = ( 94716 × 94725) / 9
LCM(94716,94725) = 8971973100 / 9
LCM(94716,94725) = 996885900

Least Common Multiple (LCM) of 94716 and 94725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94716 and 94725. First we will calculate the prime factors of 94716 and 94725.

Prime Factorization of 94716

Prime factors of 94716 are 2, 3, 877. Prime factorization of 94716 in exponential form is:

94716 = 22 × 33 × 8771

Prime Factorization of 94725

Prime factors of 94725 are 3, 5, 421. Prime factorization of 94725 in exponential form is:

94725 = 32 × 52 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 94716 and 94725.

LCM(94716,94725) = 22 × 33 × 8771 × 52 × 4211
LCM(94716,94725) = 996885900