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What is the Least Common Multiple of 44876 and 44883?

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 44876 and 44883 is 2014169508.

LCM(44876,44883) = 2014169508

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Least Common Multiple of 44876 and 44883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44876 and 44883, than apply into the LCM equation.

GCF(44876,44883) = 1
LCM(44876,44883) = ( 44876 × 44883) / 1
LCM(44876,44883) = 2014169508 / 1
LCM(44876,44883) = 2014169508

Least Common Multiple (LCM) of 44876 and 44883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44876 and 44883. First we will calculate the prime factors of 44876 and 44883.

Prime Factorization of 44876

Prime factors of 44876 are 2, 13, 863. Prime factorization of 44876 in exponential form is:

44876 = 22 × 131 × 8631

Prime Factorization of 44883

Prime factors of 44883 are 3, 4987. Prime factorization of 44883 in exponential form is:

44883 = 32 × 49871

Now multiplying the highest exponent prime factors to calculate the LCM of 44876 and 44883.

LCM(44876,44883) = 22 × 131 × 8631 × 32 × 49871
LCM(44876,44883) = 2014169508