What is the Least Common Multiple of 20604 and 20617?

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 20604 and 20617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20604 and 20617, than apply into the LCM equation.

GCF(20604,20617) = 1
LCM(20604,20617) = ( 20604 × 20617) / 1
LCM(20604,20617) = 424792668 / 1
LCM(20604,20617) = 424792668

Least Common Multiple (LCM) of 20604 and 20617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20604 and 20617. First we will calculate the prime factors of 20604 and 20617.

Prime Factorization of 20604

Prime Factorization of 20617

Now multiplying the highest exponent prime factors to calculate the LCM of 20604 and 20617.

LCM(20604,20617) = 2² × 3¹ × 17¹ × 101¹ × 53¹ × 389¹
LCM(20604,20617) = 424792668