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What is the Least Common Multiple of 94964 and 94980?

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 94964 and 94980 is 2254920180.

LCM(94964,94980) = 2254920180

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Least Common Multiple of 94964 and 94980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94964 and 94980, than apply into the LCM equation.

GCF(94964,94980) = 4
LCM(94964,94980) = ( 94964 × 94980) / 4
LCM(94964,94980) = 9019680720 / 4
LCM(94964,94980) = 2254920180

Least Common Multiple (LCM) of 94964 and 94980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94964 and 94980. First we will calculate the prime factors of 94964 and 94980.

Prime Factorization of 94964

Prime factors of 94964 are 2, 23741. Prime factorization of 94964 in exponential form is:

94964 = 22 × 237411

Prime Factorization of 94980

Prime factors of 94980 are 2, 3, 5, 1583. Prime factorization of 94980 in exponential form is:

94980 = 22 × 31 × 51 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 94964 and 94980.

LCM(94964,94980) = 22 × 237411 × 31 × 51 × 15831
LCM(94964,94980) = 2254920180