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What is the Least Common Multiple of 44981 and 44995?

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 44981 and 44995 is 2023920095.

LCM(44981,44995) = 2023920095

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Least Common Multiple of 44981 and 44995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44981 and 44995, than apply into the LCM equation.

GCF(44981,44995) = 1
LCM(44981,44995) = ( 44981 × 44995) / 1
LCM(44981,44995) = 2023920095 / 1
LCM(44981,44995) = 2023920095

Least Common Multiple (LCM) of 44981 and 44995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44981 and 44995. First we will calculate the prime factors of 44981 and 44995.

Prime Factorization of 44981

Prime factors of 44981 are 31, 1451. Prime factorization of 44981 in exponential form is:

44981 = 311 × 14511

Prime Factorization of 44995

Prime factors of 44995 are 5, 8999. Prime factorization of 44995 in exponential form is:

44995 = 51 × 89991

Now multiplying the highest exponent prime factors to calculate the LCM of 44981 and 44995.

LCM(44981,44995) = 311 × 14511 × 51 × 89991
LCM(44981,44995) = 2023920095