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What is the Least Common Multiple of 44483 and 44498?

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 44498 is 1979404534.

LCM(44483,44498) = 1979404534

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Least Common Multiple of 44483 and 44498 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 44498, than apply into the LCM equation.

GCF(44483,44498) = 1
LCM(44483,44498) = ( 44483 × 44498) / 1
LCM(44483,44498) = 1979404534 / 1
LCM(44483,44498) = 1979404534

Least Common Multiple (LCM) of 44483 and 44498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44483 and 44498. First we will calculate the prime factors of 44483 and 44498.

Prime Factorization of 44483

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

44483 = 444831

Prime Factorization of 44498

Prime factors of 44498 are 2, 19, 1171. Prime factorization of 44498 in exponential form is:

44498 = 21 × 191 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 44483 and 44498.

LCM(44483,44498) = 444831 × 21 × 191 × 11711
LCM(44483,44498) = 1979404534