What is the Least Common Multiple of 44589 and 44608?

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 44608 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 44608, than apply into the LCM equation.

GCF(44589,44608) = 1
LCM(44589,44608) = ( 44589 × 44608) / 1
LCM(44589,44608) = 1989026112 / 1
LCM(44589,44608) = 1989026112

Least Common Multiple (LCM) of 44589 and 44608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44589 and 44608. First we will calculate the prime factors of 44589 and 44608.

Prime Factorization of 44589

Prime Factorization of 44608

Now multiplying the highest exponent prime factors to calculate the LCM of 44589 and 44608.

LCM(44589,44608) = 3¹ × 89¹ × 167¹ × 2⁶ × 17¹ × 41¹
LCM(44589,44608) = 1989026112