What is the Least Common Multiple of 24588 and 24607?

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 24588 and 24607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24588 and 24607, than apply into the LCM equation.

GCF(24588,24607) = 1
LCM(24588,24607) = ( 24588 × 24607) / 1
LCM(24588,24607) = 605036916 / 1
LCM(24588,24607) = 605036916

Least Common Multiple (LCM) of 24588 and 24607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24588 and 24607. First we will calculate the prime factors of 24588 and 24607.

Prime Factorization of 24588

Prime Factorization of 24607

Now multiplying the highest exponent prime factors to calculate the LCM of 24588 and 24607.

LCM(24588,24607) = 2² × 3² × 683¹ × 11¹ × 2237¹
LCM(24588,24607) = 605036916