What is the Least Common Multiple of 32604 and 32617?

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 32604 and 32617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32604 and 32617, than apply into the LCM equation.

GCF(32604,32617) = 13
LCM(32604,32617) = ( 32604 × 32617) / 13
LCM(32604,32617) = 1063444668 / 13
LCM(32604,32617) = 81803436

Least Common Multiple (LCM) of 32604 and 32617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32604 and 32617. First we will calculate the prime factors of 32604 and 32617.

Prime Factorization of 32604

Prime Factorization of 32617

Now multiplying the highest exponent prime factors to calculate the LCM of 32604 and 32617.

LCM(32604,32617) = 2² × 3¹ × 11¹ × 13² × 19¹ × 193¹
LCM(32604,32617) = 81803436