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What is the Least Common Multiple of 44013 and 44024?

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 44013 and 44024 is 1937628312.

LCM(44013,44024) = 1937628312

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Least Common Multiple of 44013 and 44024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44013 and 44024, than apply into the LCM equation.

GCF(44013,44024) = 1
LCM(44013,44024) = ( 44013 × 44024) / 1
LCM(44013,44024) = 1937628312 / 1
LCM(44013,44024) = 1937628312

Least Common Multiple (LCM) of 44013 and 44024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44013 and 44024. First we will calculate the prime factors of 44013 and 44024.

Prime Factorization of 44013

Prime factors of 44013 are 3, 17, 863. Prime factorization of 44013 in exponential form is:

44013 = 31 × 171 × 8631

Prime Factorization of 44024

Prime factors of 44024 are 2, 5503. Prime factorization of 44024 in exponential form is:

44024 = 23 × 55031

Now multiplying the highest exponent prime factors to calculate the LCM of 44013 and 44024.

LCM(44013,44024) = 31 × 171 × 8631 × 23 × 55031
LCM(44013,44024) = 1937628312