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What is the Least Common Multiple of 94081 and 94092?

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 94081 and 94092 is 8852269452.

LCM(94081,94092) = 8852269452

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Least Common Multiple of 94081 and 94092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94081 and 94092, than apply into the LCM equation.

GCF(94081,94092) = 1
LCM(94081,94092) = ( 94081 × 94092) / 1
LCM(94081,94092) = 8852269452 / 1
LCM(94081,94092) = 8852269452

Least Common Multiple (LCM) of 94081 and 94092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94081 and 94092. First we will calculate the prime factors of 94081 and 94092.

Prime Factorization of 94081

Prime factors of 94081 are 13, 7237. Prime factorization of 94081 in exponential form is:

94081 = 131 × 72371

Prime Factorization of 94092

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

94092 = 22 × 31 × 78411

Now multiplying the highest exponent prime factors to calculate the LCM of 94081 and 94092.

LCM(94081,94092) = 131 × 72371 × 22 × 31 × 78411
LCM(94081,94092) = 8852269452