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What is the Least Common Multiple of 44015 and 44021?

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 44015 and 44021 is 1937584315.

LCM(44015,44021) = 1937584315

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Least Common Multiple of 44015 and 44021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44015 and 44021, than apply into the LCM equation.

GCF(44015,44021) = 1
LCM(44015,44021) = ( 44015 × 44021) / 1
LCM(44015,44021) = 1937584315 / 1
LCM(44015,44021) = 1937584315

Least Common Multiple (LCM) of 44015 and 44021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44015 and 44021. First we will calculate the prime factors of 44015 and 44021.

Prime Factorization of 44015

Prime factors of 44015 are 5, 8803. Prime factorization of 44015 in exponential form is:

44015 = 51 × 88031

Prime Factorization of 44021

Prime factors of 44021 are 44021. Prime factorization of 44021 in exponential form is:

44021 = 440211

Now multiplying the highest exponent prime factors to calculate the LCM of 44015 and 44021.

LCM(44015,44021) = 51 × 88031 × 440211
LCM(44015,44021) = 1937584315