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What is the Least Common Multiple of 94934 and 94939?

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 94934 and 94939 is 9012939026.

LCM(94934,94939) = 9012939026

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Least Common Multiple of 94934 and 94939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94934 and 94939, than apply into the LCM equation.

GCF(94934,94939) = 1
LCM(94934,94939) = ( 94934 × 94939) / 1
LCM(94934,94939) = 9012939026 / 1
LCM(94934,94939) = 9012939026

Least Common Multiple (LCM) of 94934 and 94939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94934 and 94939. First we will calculate the prime factors of 94934 and 94939.

Prime Factorization of 94934

Prime factors of 94934 are 2, 7, 6781. Prime factorization of 94934 in exponential form is:

94934 = 21 × 71 × 67811

Prime Factorization of 94939

Prime factors of 94939 are 13, 67, 109. Prime factorization of 94939 in exponential form is:

94939 = 131 × 671 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 94934 and 94939.

LCM(94934,94939) = 21 × 71 × 67811 × 131 × 671 × 1091
LCM(94934,94939) = 9012939026