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What is the Least Common Multiple of 94907 and 94924?

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 94907 and 94924 is 9008952068.

LCM(94907,94924) = 9008952068

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Least Common Multiple of 94907 and 94924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94907 and 94924, than apply into the LCM equation.

GCF(94907,94924) = 1
LCM(94907,94924) = ( 94907 × 94924) / 1
LCM(94907,94924) = 9008952068 / 1
LCM(94907,94924) = 9008952068

Least Common Multiple (LCM) of 94907 and 94924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94907 and 94924. First we will calculate the prime factors of 94907 and 94924.

Prime Factorization of 94907

Prime factors of 94907 are 94907. Prime factorization of 94907 in exponential form is:

94907 = 949071

Prime Factorization of 94924

Prime factors of 94924 are 2, 19, 1249. Prime factorization of 94924 in exponential form is:

94924 = 22 × 191 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 94907 and 94924.

LCM(94907,94924) = 949071 × 22 × 191 × 12491
LCM(94907,94924) = 9008952068