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What is the Least Common Multiple of 94740 and 94746?

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 94740 and 94746 is 1496039340.

LCM(94740,94746) = 1496039340

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Least Common Multiple of 94740 and 94746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94740 and 94746, than apply into the LCM equation.

GCF(94740,94746) = 6
LCM(94740,94746) = ( 94740 × 94746) / 6
LCM(94740,94746) = 8976236040 / 6
LCM(94740,94746) = 1496039340

Least Common Multiple (LCM) of 94740 and 94746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94740 and 94746. First we will calculate the prime factors of 94740 and 94746.

Prime Factorization of 94740

Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:

94740 = 22 × 31 × 51 × 15791

Prime Factorization of 94746

Prime factors of 94746 are 2, 3, 15791. Prime factorization of 94746 in exponential form is:

94746 = 21 × 31 × 157911

Now multiplying the highest exponent prime factors to calculate the LCM of 94740 and 94746.

LCM(94740,94746) = 22 × 31 × 51 × 15791 × 157911
LCM(94740,94746) = 1496039340