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What is the Least Common Multiple of 44718 and 44723?

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 44718 and 44723 is 1999923114.

LCM(44718,44723) = 1999923114

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Least Common Multiple of 44718 and 44723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44718 and 44723, than apply into the LCM equation.

GCF(44718,44723) = 1
LCM(44718,44723) = ( 44718 × 44723) / 1
LCM(44718,44723) = 1999923114 / 1
LCM(44718,44723) = 1999923114

Least Common Multiple (LCM) of 44718 and 44723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44718 and 44723. First we will calculate the prime factors of 44718 and 44723.

Prime Factorization of 44718

Prime factors of 44718 are 2, 3, 29, 257. Prime factorization of 44718 in exponential form is:

44718 = 21 × 31 × 291 × 2571

Prime Factorization of 44723

Prime factors of 44723 are 7, 6389. Prime factorization of 44723 in exponential form is:

44723 = 71 × 63891

Now multiplying the highest exponent prime factors to calculate the LCM of 44718 and 44723.

LCM(44718,44723) = 21 × 31 × 291 × 2571 × 71 × 63891
LCM(44718,44723) = 1999923114