What is the Least Common Multiple of 44604 and 44617?

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 44604 and 44617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44604 and 44617, than apply into the LCM equation.

GCF(44604,44617) = 1
LCM(44604,44617) = ( 44604 × 44617) / 1
LCM(44604,44617) = 1990096668 / 1
LCM(44604,44617) = 1990096668

Least Common Multiple (LCM) of 44604 and 44617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44604 and 44617. First we will calculate the prime factors of 44604 and 44617.

Prime Factorization of 44604

Prime Factorization of 44617

Now multiplying the highest exponent prime factors to calculate the LCM of 44604 and 44617.

LCM(44604,44617) = 2² × 3³ × 7¹ × 59¹ × 44617¹
LCM(44604,44617) = 1990096668