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What is the Least Common Multiple of 94162 and 94177?

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 94162 and 94177 is 8867894674.

LCM(94162,94177) = 8867894674

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Least Common Multiple of 94162 and 94177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94162 and 94177, than apply into the LCM equation.

GCF(94162,94177) = 1
LCM(94162,94177) = ( 94162 × 94177) / 1
LCM(94162,94177) = 8867894674 / 1
LCM(94162,94177) = 8867894674

Least Common Multiple (LCM) of 94162 and 94177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94162 and 94177. First we will calculate the prime factors of 94162 and 94177.

Prime Factorization of 94162

Prime factors of 94162 are 2, 23, 89. Prime factorization of 94162 in exponential form is:

94162 = 21 × 232 × 891

Prime Factorization of 94177

Prime factors of 94177 are 41, 2297. Prime factorization of 94177 in exponential form is:

94177 = 411 × 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 94162 and 94177.

LCM(94162,94177) = 21 × 232 × 891 × 411 × 22971
LCM(94162,94177) = 8867894674