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What is the Least Common Multiple of 44482 and 44501?

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 44482 and 44501 is 1979493482.

LCM(44482,44501) = 1979493482

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Least Common Multiple of 44482 and 44501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44482 and 44501, than apply into the LCM equation.

GCF(44482,44501) = 1
LCM(44482,44501) = ( 44482 × 44501) / 1
LCM(44482,44501) = 1979493482 / 1
LCM(44482,44501) = 1979493482

Least Common Multiple (LCM) of 44482 and 44501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44482 and 44501. First we will calculate the prime factors of 44482 and 44501.

Prime Factorization of 44482

Prime factors of 44482 are 2, 23, 967. Prime factorization of 44482 in exponential form is:

44482 = 21 × 231 × 9671

Prime Factorization of 44501

Prime factors of 44501 are 44501. Prime factorization of 44501 in exponential form is:

44501 = 445011

Now multiplying the highest exponent prime factors to calculate the LCM of 44482 and 44501.

LCM(44482,44501) = 21 × 231 × 9671 × 445011
LCM(44482,44501) = 1979493482