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What is the Least Common Multiple of 44483 and 44493?

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 44483 and 44493 is 1979182119.

LCM(44483,44493) = 1979182119

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Least Common Multiple of 44483 and 44493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44483 and 44493, than apply into the LCM equation.

GCF(44483,44493) = 1
LCM(44483,44493) = ( 44483 × 44493) / 1
LCM(44483,44493) = 1979182119 / 1
LCM(44483,44493) = 1979182119

Least Common Multiple (LCM) of 44483 and 44493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44483 and 44493. First we will calculate the prime factors of 44483 and 44493.

Prime Factorization of 44483

Prime factors of 44483 are 44483. Prime factorization of 44483 in exponential form is:

44483 = 444831

Prime Factorization of 44493

Prime factors of 44493 are 3, 14831. Prime factorization of 44493 in exponential form is:

44493 = 31 × 148311

Now multiplying the highest exponent prime factors to calculate the LCM of 44483 and 44493.

LCM(44483,44493) = 444831 × 31 × 148311
LCM(44483,44493) = 1979182119