What is the Least Common Multiple of 24612 and 24617?

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 24612 and 24617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24612 and 24617, than apply into the LCM equation.

GCF(24612,24617) = 1
LCM(24612,24617) = ( 24612 × 24617) / 1
LCM(24612,24617) = 605873604 / 1
LCM(24612,24617) = 605873604

Least Common Multiple (LCM) of 24612 and 24617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24612 and 24617. First we will calculate the prime factors of 24612 and 24617.

Prime Factorization of 24612

Prime Factorization of 24617

Now multiplying the highest exponent prime factors to calculate the LCM of 24612 and 24617.

LCM(24612,24617) = 2² × 3¹ × 7¹ × 293¹ × 103¹ × 239¹
LCM(24612,24617) = 605873604