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What is the Least Common Multiple of 94313 and 94332?

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 94313 and 94332 is 8896733916.

LCM(94313,94332) = 8896733916

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Least Common Multiple of 94313 and 94332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94313 and 94332, than apply into the LCM equation.

GCF(94313,94332) = 1
LCM(94313,94332) = ( 94313 × 94332) / 1
LCM(94313,94332) = 8896733916 / 1
LCM(94313,94332) = 8896733916

Least Common Multiple (LCM) of 94313 and 94332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94313 and 94332. First we will calculate the prime factors of 94313 and 94332.

Prime Factorization of 94313

Prime factors of 94313 are 37, 2549. Prime factorization of 94313 in exponential form is:

94313 = 371 × 25491

Prime Factorization of 94332

Prime factors of 94332 are 2, 3, 7, 1123. Prime factorization of 94332 in exponential form is:

94332 = 22 × 31 × 71 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 94313 and 94332.

LCM(94313,94332) = 371 × 25491 × 22 × 31 × 71 × 11231
LCM(94313,94332) = 8896733916