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What is the Least Common Multiple of 44027 and 44044?

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 44027 and 44044 is 1939125188.

LCM(44027,44044) = 1939125188

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Least Common Multiple of 44027 and 44044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44027 and 44044, than apply into the LCM equation.

GCF(44027,44044) = 1
LCM(44027,44044) = ( 44027 × 44044) / 1
LCM(44027,44044) = 1939125188 / 1
LCM(44027,44044) = 1939125188

Least Common Multiple (LCM) of 44027 and 44044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44027 and 44044. First we will calculate the prime factors of 44027 and 44044.

Prime Factorization of 44027

Prime factors of 44027 are 44027. Prime factorization of 44027 in exponential form is:

44027 = 440271

Prime Factorization of 44044

Prime factors of 44044 are 2, 7, 11, 13. Prime factorization of 44044 in exponential form is:

44044 = 22 × 71 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 44027 and 44044.

LCM(44027,44044) = 440271 × 22 × 71 × 112 × 131
LCM(44027,44044) = 1939125188