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What is the Least Common Multiple of 44856 and 44862?

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 44856 and 44862 is 335388312.

LCM(44856,44862) = 335388312

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Least Common Multiple of 44856 and 44862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44856 and 44862, than apply into the LCM equation.

GCF(44856,44862) = 6
LCM(44856,44862) = ( 44856 × 44862) / 6
LCM(44856,44862) = 2012329872 / 6
LCM(44856,44862) = 335388312

Least Common Multiple (LCM) of 44856 and 44862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44856 and 44862. First we will calculate the prime factors of 44856 and 44862.

Prime Factorization of 44856

Prime factors of 44856 are 2, 3, 7, 89. Prime factorization of 44856 in exponential form is:

44856 = 23 × 32 × 71 × 891

Prime Factorization of 44862

Prime factors of 44862 are 2, 3, 7477. Prime factorization of 44862 in exponential form is:

44862 = 21 × 31 × 74771

Now multiplying the highest exponent prime factors to calculate the LCM of 44856 and 44862.

LCM(44856,44862) = 23 × 32 × 71 × 891 × 74771
LCM(44856,44862) = 335388312