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What is the Least Common Multiple of 94085 and 94096?

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 94085 and 94096 is 8853022160.

LCM(94085,94096) = 8853022160

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Least Common Multiple of 94085 and 94096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94085 and 94096, than apply into the LCM equation.

GCF(94085,94096) = 1
LCM(94085,94096) = ( 94085 × 94096) / 1
LCM(94085,94096) = 8853022160 / 1
LCM(94085,94096) = 8853022160

Least Common Multiple (LCM) of 94085 and 94096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94085 and 94096. First we will calculate the prime factors of 94085 and 94096.

Prime Factorization of 94085

Prime factors of 94085 are 5, 31, 607. Prime factorization of 94085 in exponential form is:

94085 = 51 × 311 × 6071

Prime Factorization of 94096

Prime factors of 94096 are 2, 5881. Prime factorization of 94096 in exponential form is:

94096 = 24 × 58811

Now multiplying the highest exponent prime factors to calculate the LCM of 94085 and 94096.

LCM(94085,94096) = 51 × 311 × 6071 × 24 × 58811
LCM(94085,94096) = 8853022160