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What is the Least Common Multiple of 94918 and 94932?

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 94918 and 94932 is 4505377788.

LCM(94918,94932) = 4505377788

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Least Common Multiple of 94918 and 94932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94918 and 94932, than apply into the LCM equation.

GCF(94918,94932) = 2
LCM(94918,94932) = ( 94918 × 94932) / 2
LCM(94918,94932) = 9010755576 / 2
LCM(94918,94932) = 4505377788

Least Common Multiple (LCM) of 94918 and 94932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94918 and 94932. First we will calculate the prime factors of 94918 and 94932.

Prime Factorization of 94918

Prime factors of 94918 are 2, 47459. Prime factorization of 94918 in exponential form is:

94918 = 21 × 474591

Prime Factorization of 94932

Prime factors of 94932 are 2, 3, 293. Prime factorization of 94932 in exponential form is:

94932 = 22 × 34 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 94918 and 94932.

LCM(94918,94932) = 22 × 474591 × 34 × 2931
LCM(94918,94932) = 4505377788