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What is the Least Common Multiple of 94394 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 94394 and 94401 is 8910887994.

LCM(94394,94401) = 8910887994

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Least Common Multiple of 94394 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 94394 and 94401, than apply into the LCM equation.

GCF(94394,94401) = 1
LCM(94394,94401) = ( 94394 × 94401) / 1
LCM(94394,94401) = 8910887994 / 1
LCM(94394,94401) = 8910887994

Least Common Multiple (LCM) of 94394 and 94401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94394 and 94401. First we will calculate the prime factors of 94394 and 94401.

Prime Factorization of 94394

Prime factors of 94394 are 2, 109, 433. Prime factorization of 94394 in exponential form is:

94394 = 21 × 1091 × 4331

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 94394 and 94401.

LCM(94394,94401) = 21 × 1091 × 4331 × 32 × 171 × 6171
LCM(94394,94401) = 8910887994