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What is the Least Common Multiple of 94951 and 94970?

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 94951 and 94970 is 9017496470.

LCM(94951,94970) = 9017496470

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Least Common Multiple of 94951 and 94970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94951 and 94970, than apply into the LCM equation.

GCF(94951,94970) = 1
LCM(94951,94970) = ( 94951 × 94970) / 1
LCM(94951,94970) = 9017496470 / 1
LCM(94951,94970) = 9017496470

Least Common Multiple (LCM) of 94951 and 94970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94951 and 94970. First we will calculate the prime factors of 94951 and 94970.

Prime Factorization of 94951

Prime factors of 94951 are 94951. Prime factorization of 94951 in exponential form is:

94951 = 949511

Prime Factorization of 94970

Prime factors of 94970 are 2, 5, 9497. Prime factorization of 94970 in exponential form is:

94970 = 21 × 51 × 94971

Now multiplying the highest exponent prime factors to calculate the LCM of 94951 and 94970.

LCM(94951,94970) = 949511 × 21 × 51 × 94971
LCM(94951,94970) = 9017496470