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What is the Least Common Multiple of 44056 and 44060?

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 44056 and 44060 is 485276840.

LCM(44056,44060) = 485276840

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Least Common Multiple of 44056 and 44060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44056 and 44060, than apply into the LCM equation.

GCF(44056,44060) = 4
LCM(44056,44060) = ( 44056 × 44060) / 4
LCM(44056,44060) = 1941107360 / 4
LCM(44056,44060) = 485276840

Least Common Multiple (LCM) of 44056 and 44060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44056 and 44060. First we will calculate the prime factors of 44056 and 44060.

Prime Factorization of 44056

Prime factors of 44056 are 2, 5507. Prime factorization of 44056 in exponential form is:

44056 = 23 × 55071

Prime Factorization of 44060

Prime factors of 44060 are 2, 5, 2203. Prime factorization of 44060 in exponential form is:

44060 = 22 × 51 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 44056 and 44060.

LCM(44056,44060) = 23 × 55071 × 51 × 22031
LCM(44056,44060) = 485276840