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What is the Least Common Multiple of 94938 and 94956?

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 94938 and 94956 is 1502488788.

LCM(94938,94956) = 1502488788

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Least Common Multiple of 94938 and 94956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94938 and 94956, than apply into the LCM equation.

GCF(94938,94956) = 6
LCM(94938,94956) = ( 94938 × 94956) / 6
LCM(94938,94956) = 9014932728 / 6
LCM(94938,94956) = 1502488788

Least Common Multiple (LCM) of 94938 and 94956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94938 and 94956. First we will calculate the prime factors of 94938 and 94956.

Prime Factorization of 94938

Prime factors of 94938 are 2, 3, 15823. Prime factorization of 94938 in exponential form is:

94938 = 21 × 31 × 158231

Prime Factorization of 94956

Prime factors of 94956 are 2, 3, 41, 193. Prime factorization of 94956 in exponential form is:

94956 = 22 × 31 × 411 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 94938 and 94956.

LCM(94938,94956) = 22 × 31 × 158231 × 411 × 1931
LCM(94938,94956) = 1502488788