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What is the Least Common Multiple of 94042 and 94057?

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 94042 and 94057 is 8845308394.

LCM(94042,94057) = 8845308394

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Least Common Multiple of 94042 and 94057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94042 and 94057, than apply into the LCM equation.

GCF(94042,94057) = 1
LCM(94042,94057) = ( 94042 × 94057) / 1
LCM(94042,94057) = 8845308394 / 1
LCM(94042,94057) = 8845308394

Least Common Multiple (LCM) of 94042 and 94057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94042 and 94057. First we will calculate the prime factors of 94042 and 94057.

Prime Factorization of 94042

Prime factors of 94042 are 2, 13, 3617. Prime factorization of 94042 in exponential form is:

94042 = 21 × 131 × 36171

Prime Factorization of 94057

Prime factors of 94057 are 94057. Prime factorization of 94057 in exponential form is:

94057 = 940571

Now multiplying the highest exponent prime factors to calculate the LCM of 94042 and 94057.

LCM(94042,94057) = 21 × 131 × 36171 × 940571
LCM(94042,94057) = 8845308394