What is the Least Common Multiple of 44589 and 44609?

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 44589 and 44609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44589 and 44609, than apply into the LCM equation.

GCF(44589,44609) = 1
LCM(44589,44609) = ( 44589 × 44609) / 1
LCM(44589,44609) = 1989070701 / 1
LCM(44589,44609) = 1989070701

Least Common Multiple (LCM) of 44589 and 44609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44589 and 44609. First we will calculate the prime factors of 44589 and 44609.

Prime Factorization of 44589

Prime Factorization of 44609

Now multiplying the highest exponent prime factors to calculate the LCM of 44589 and 44609.

LCM(44589,44609) = 3¹ × 89¹ × 167¹ × 31¹ × 1439¹
LCM(44589,44609) = 1989070701