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What is the Least Common Multiple of 94997 and 95006?

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 94997 and 95006 is 9025284982.

LCM(94997,95006) = 9025284982

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Least Common Multiple of 94997 and 95006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94997 and 95006, than apply into the LCM equation.

GCF(94997,95006) = 1
LCM(94997,95006) = ( 94997 × 95006) / 1
LCM(94997,95006) = 9025284982 / 1
LCM(94997,95006) = 9025284982

Least Common Multiple (LCM) of 94997 and 95006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94997 and 95006. First we will calculate the prime factors of 94997 and 95006.

Prime Factorization of 94997

Prime factors of 94997 are 7, 41, 331. Prime factorization of 94997 in exponential form is:

94997 = 71 × 411 × 3311

Prime Factorization of 95006

Prime factors of 95006 are 2, 67, 709. Prime factorization of 95006 in exponential form is:

95006 = 21 × 671 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 94997 and 95006.

LCM(94997,95006) = 71 × 411 × 3311 × 21 × 671 × 7091
LCM(94997,95006) = 9025284982