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What is the Least Common Multiple of 94612 and 94616?

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 94612 and 94616 is 2237952248.

LCM(94612,94616) = 2237952248

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Least Common Multiple of 94612 and 94616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94612 and 94616, than apply into the LCM equation.

GCF(94612,94616) = 4
LCM(94612,94616) = ( 94612 × 94616) / 4
LCM(94612,94616) = 8951808992 / 4
LCM(94612,94616) = 2237952248

Least Common Multiple (LCM) of 94612 and 94616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94612 and 94616. First we will calculate the prime factors of 94612 and 94616.

Prime Factorization of 94612

Prime factors of 94612 are 2, 7, 31, 109. Prime factorization of 94612 in exponential form is:

94612 = 22 × 71 × 311 × 1091

Prime Factorization of 94616

Prime factors of 94616 are 2, 11827. Prime factorization of 94616 in exponential form is:

94616 = 23 × 118271

Now multiplying the highest exponent prime factors to calculate the LCM of 94612 and 94616.

LCM(94612,94616) = 23 × 71 × 311 × 1091 × 118271
LCM(94612,94616) = 2237952248