What is the Least Common Multiple of 44489 and 44500?

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 of 44489 and 44500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44489 and 44500, than apply into the LCM equation.

GCF(44489,44500) = 1
LCM(44489,44500) = ( 44489 × 44500) / 1
LCM(44489,44500) = 1979760500 / 1
LCM(44489,44500) = 1979760500

Least Common Multiple (LCM) of 44489 and 44500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44489 and 44500. First we will calculate the prime factors of 44489 and 44500.

Prime Factorization of 44489

Prime Factorization of 44500

Now multiplying the highest exponent prime factors to calculate the LCM of 44489 and 44500.

LCM(44489,44500) = 17¹ × 2617¹ × 2² × 5³ × 89¹
LCM(44489,44500) = 1979760500