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What is the Least Common Multiple of 44443 and 44447?

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 44443 and 44447 is 1975358021.

LCM(44443,44447) = 1975358021

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Least Common Multiple of 44443 and 44447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44443 and 44447, than apply into the LCM equation.

GCF(44443,44447) = 1
LCM(44443,44447) = ( 44443 × 44447) / 1
LCM(44443,44447) = 1975358021 / 1
LCM(44443,44447) = 1975358021

Least Common Multiple (LCM) of 44443 and 44447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44443 and 44447. First we will calculate the prime factors of 44443 and 44447.

Prime Factorization of 44443

Prime factors of 44443 are 7, 907. Prime factorization of 44443 in exponential form is:

44443 = 72 × 9071

Prime Factorization of 44447

Prime factors of 44447 are 13, 263. Prime factorization of 44447 in exponential form is:

44447 = 132 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 44443 and 44447.

LCM(44443,44447) = 72 × 9071 × 132 × 2631
LCM(44443,44447) = 1975358021