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What is the Least Common Multiple of 44501 and 44521?

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 44501 and 44521 is 1981229021.

LCM(44501,44521) = 1981229021

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Least Common Multiple of 44501 and 44521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44501 and 44521, than apply into the LCM equation.

GCF(44501,44521) = 1
LCM(44501,44521) = ( 44501 × 44521) / 1
LCM(44501,44521) = 1981229021 / 1
LCM(44501,44521) = 1981229021

Least Common Multiple (LCM) of 44501 and 44521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44501 and 44521. First we will calculate the prime factors of 44501 and 44521.

Prime Factorization of 44501

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

44501 = 445011

Prime Factorization of 44521

Prime factors of 44521 are 211. Prime factorization of 44521 in exponential form is:

44521 = 2112

Now multiplying the highest exponent prime factors to calculate the LCM of 44501 and 44521.

LCM(44501,44521) = 445011 × 2112
LCM(44501,44521) = 1981229021