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What is the Least Common Multiple of 94988 and 95007?

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 94988 and 95007 is 9024524916.

LCM(94988,95007) = 9024524916

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Least Common Multiple of 94988 and 95007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94988 and 95007, than apply into the LCM equation.

GCF(94988,95007) = 1
LCM(94988,95007) = ( 94988 × 95007) / 1
LCM(94988,95007) = 9024524916 / 1
LCM(94988,95007) = 9024524916

Least Common Multiple (LCM) of 94988 and 95007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94988 and 95007. First we will calculate the prime factors of 94988 and 95007.

Prime Factorization of 94988

Prime factors of 94988 are 2, 23747. Prime factorization of 94988 in exponential form is:

94988 = 22 × 237471

Prime Factorization of 95007

Prime factors of 95007 are 3, 11, 2879. Prime factorization of 95007 in exponential form is:

95007 = 31 × 111 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 94988 and 95007.

LCM(94988,95007) = 22 × 237471 × 31 × 111 × 28791
LCM(94988,95007) = 9024524916