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What is the Least Common Multiple of 44436 and 44443?

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 44436 and 44443 is 282124164.

LCM(44436,44443) = 282124164

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Least Common Multiple of 44436 and 44443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44436 and 44443, than apply into the LCM equation.

GCF(44436,44443) = 7
LCM(44436,44443) = ( 44436 × 44443) / 7
LCM(44436,44443) = 1974869148 / 7
LCM(44436,44443) = 282124164

Least Common Multiple (LCM) of 44436 and 44443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44436 and 44443. First we will calculate the prime factors of 44436 and 44443.

Prime Factorization of 44436

Prime factors of 44436 are 2, 3, 7, 23. Prime factorization of 44436 in exponential form is:

44436 = 22 × 31 × 71 × 232

Prime Factorization of 44443

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

44443 = 72 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 44436 and 44443.

LCM(44436,44443) = 22 × 31 × 72 × 232 × 9071
LCM(44436,44443) = 282124164