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What is the Least Common Multiple of 44500 and 44520?

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 44500 and 44520 is 99057000.

LCM(44500,44520) = 99057000

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Least Common Multiple of 44500 and 44520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44500 and 44520, than apply into the LCM equation.

GCF(44500,44520) = 20
LCM(44500,44520) = ( 44500 × 44520) / 20
LCM(44500,44520) = 1981140000 / 20
LCM(44500,44520) = 99057000

Least Common Multiple (LCM) of 44500 and 44520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44500 and 44520. First we will calculate the prime factors of 44500 and 44520.

Prime Factorization of 44500

Prime factors of 44500 are 2, 5, 89. Prime factorization of 44500 in exponential form is:

44500 = 22 × 53 × 891

Prime Factorization of 44520

Prime factors of 44520 are 2, 3, 5, 7, 53. Prime factorization of 44520 in exponential form is:

44520 = 23 × 31 × 51 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 44500 and 44520.

LCM(44500,44520) = 23 × 53 × 891 × 31 × 71 × 531
LCM(44500,44520) = 99057000