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What is the Least Common Multiple of 94092 and 94099?

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 94092 and 94099 is 8853963108.

LCM(94092,94099) = 8853963108

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Least Common Multiple of 94092 and 94099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94092 and 94099, than apply into the LCM equation.

GCF(94092,94099) = 1
LCM(94092,94099) = ( 94092 × 94099) / 1
LCM(94092,94099) = 8853963108 / 1
LCM(94092,94099) = 8853963108

Least Common Multiple (LCM) of 94092 and 94099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94092 and 94099. First we will calculate the prime factors of 94092 and 94099.

Prime Factorization of 94092

Prime factors of 94092 are 2, 3, 7841. Prime factorization of 94092 in exponential form is:

94092 = 22 × 31 × 78411

Prime Factorization of 94099

Prime factors of 94099 are 94099. Prime factorization of 94099 in exponential form is:

94099 = 940991

Now multiplying the highest exponent prime factors to calculate the LCM of 94092 and 94099.

LCM(94092,94099) = 22 × 31 × 78411 × 940991
LCM(94092,94099) = 8853963108