What is the Least Common Multiple of 24723 and 24732?

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 24723 and 24732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24723 and 24732, than apply into the LCM equation.

GCF(24723,24732) = 9
LCM(24723,24732) = ( 24723 × 24732) / 9
LCM(24723,24732) = 611449236 / 9
LCM(24723,24732) = 67938804

Least Common Multiple (LCM) of 24723 and 24732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24723 and 24732. First we will calculate the prime factors of 24723 and 24732.

Prime Factorization of 24723

Prime Factorization of 24732

Now multiplying the highest exponent prime factors to calculate the LCM of 24723 and 24732.

LCM(24723,24732) = 3³ × 41¹ × 67¹ × 2² × 229¹
LCM(24723,24732) = 67938804