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What is the Least Common Multiple of 94958 and 94971?

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 94958 and 94971 is 9018256218.

LCM(94958,94971) = 9018256218

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Least Common Multiple of 94958 and 94971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94958 and 94971, than apply into the LCM equation.

GCF(94958,94971) = 1
LCM(94958,94971) = ( 94958 × 94971) / 1
LCM(94958,94971) = 9018256218 / 1
LCM(94958,94971) = 9018256218

Least Common Multiple (LCM) of 94958 and 94971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94958 and 94971. First we will calculate the prime factors of 94958 and 94971.

Prime Factorization of 94958

Prime factors of 94958 are 2, 79, 601. Prime factorization of 94958 in exponential form is:

94958 = 21 × 791 × 6011

Prime Factorization of 94971

Prime factors of 94971 are 3, 31657. Prime factorization of 94971 in exponential form is:

94971 = 31 × 316571

Now multiplying the highest exponent prime factors to calculate the LCM of 94958 and 94971.

LCM(94958,94971) = 21 × 791 × 6011 × 31 × 316571
LCM(94958,94971) = 9018256218