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What is the Least Common Multiple of 94991 and 95008?

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 94991 and 95008 is 9024904928.

LCM(94991,95008) = 9024904928

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Least Common Multiple of 94991 and 95008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94991 and 95008, than apply into the LCM equation.

GCF(94991,95008) = 1
LCM(94991,95008) = ( 94991 × 95008) / 1
LCM(94991,95008) = 9024904928 / 1
LCM(94991,95008) = 9024904928

Least Common Multiple (LCM) of 94991 and 95008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94991 and 95008. First we will calculate the prime factors of 94991 and 95008.

Prime Factorization of 94991

Prime factors of 94991 are 13, 7307. Prime factorization of 94991 in exponential form is:

94991 = 131 × 73071

Prime Factorization of 95008

Prime factors of 95008 are 2, 2969. Prime factorization of 95008 in exponential form is:

95008 = 25 × 29691

Now multiplying the highest exponent prime factors to calculate the LCM of 94991 and 95008.

LCM(94991,95008) = 131 × 73071 × 25 × 29691
LCM(94991,95008) = 9024904928