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What is the Least Common Multiple of 94012 and 94017?

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 94012 and 94017 is 8838726204.

LCM(94012,94017) = 8838726204

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Least Common Multiple of 94012 and 94017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94012 and 94017, than apply into the LCM equation.

GCF(94012,94017) = 1
LCM(94012,94017) = ( 94012 × 94017) / 1
LCM(94012,94017) = 8838726204 / 1
LCM(94012,94017) = 8838726204

Least Common Multiple (LCM) of 94012 and 94017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94012 and 94017. First we will calculate the prime factors of 94012 and 94017.

Prime Factorization of 94012

Prime factors of 94012 are 2, 19, 1237. Prime factorization of 94012 in exponential form is:

94012 = 22 × 191 × 12371

Prime Factorization of 94017

Prime factors of 94017 are 3, 7, 11, 37. Prime factorization of 94017 in exponential form is:

94017 = 31 × 71 × 112 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 94012 and 94017.

LCM(94012,94017) = 22 × 191 × 12371 × 31 × 71 × 112 × 371
LCM(94012,94017) = 8838726204