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What is the Least Common Multiple of 94396 and 94401?

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 94396 and 94401 is 8911076796.

LCM(94396,94401) = 8911076796

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Least Common Multiple of 94396 and 94401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94396 and 94401, than apply into the LCM equation.

GCF(94396,94401) = 1
LCM(94396,94401) = ( 94396 × 94401) / 1
LCM(94396,94401) = 8911076796 / 1
LCM(94396,94401) = 8911076796

Least Common Multiple (LCM) of 94396 and 94401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94396 and 94401. First we will calculate the prime factors of 94396 and 94401.

Prime Factorization of 94396

Prime factors of 94396 are 2, 23599. Prime factorization of 94396 in exponential form is:

94396 = 22 × 235991

Prime Factorization of 94401

Prime factors of 94401 are 3, 17, 617. Prime factorization of 94401 in exponential form is:

94401 = 32 × 171 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 94396 and 94401.

LCM(94396,94401) = 22 × 235991 × 32 × 171 × 6171
LCM(94396,94401) = 8911076796