What is the Least Common Multiple of 44584 and 44604?

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 44584 and 44604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44584 and 44604, than apply into the LCM equation.

GCF(44584,44604) = 4
LCM(44584,44604) = ( 44584 × 44604) / 4
LCM(44584,44604) = 1988624736 / 4
LCM(44584,44604) = 497156184

Least Common Multiple (LCM) of 44584 and 44604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44584 and 44604. First we will calculate the prime factors of 44584 and 44604.

Prime Factorization of 44584

Prime Factorization of 44604

Now multiplying the highest exponent prime factors to calculate the LCM of 44584 and 44604.

LCM(44584,44604) = 2³ × 5573¹ × 3³ × 7¹ × 59¹
LCM(44584,44604) = 497156184