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What is the Least Common Multiple of 94980 and 94989?

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 94980 and 94989 is 3007351740.

LCM(94980,94989) = 3007351740

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Least Common Multiple of 94980 and 94989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94980 and 94989, than apply into the LCM equation.

GCF(94980,94989) = 3
LCM(94980,94989) = ( 94980 × 94989) / 3
LCM(94980,94989) = 9022055220 / 3
LCM(94980,94989) = 3007351740

Least Common Multiple (LCM) of 94980 and 94989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94980 and 94989. First we will calculate the prime factors of 94980 and 94989.

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

Prime Factorization of 94989

Prime factors of 94989 are 3, 31663. Prime factorization of 94989 in exponential form is:

94989 = 31 × 316631

Now multiplying the highest exponent prime factors to calculate the LCM of 94980 and 94989.

LCM(94980,94989) = 22 × 31 × 51 × 15831 × 316631
LCM(94980,94989) = 3007351740