What is the Least Common Multiple of 24549 and 24564?

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 24549 and 24564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24549 and 24564, than apply into the LCM equation.

GCF(24549,24564) = 3
LCM(24549,24564) = ( 24549 × 24564) / 3
LCM(24549,24564) = 603021636 / 3
LCM(24549,24564) = 201007212

Least Common Multiple (LCM) of 24549 and 24564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24549 and 24564. First we will calculate the prime factors of 24549 and 24564.

Prime Factorization of 24549

Prime Factorization of 24564

Now multiplying the highest exponent prime factors to calculate the LCM of 24549 and 24564.

LCM(24549,24564) = 3¹ × 7² × 167¹ × 2² × 23¹ × 89¹
LCM(24549,24564) = 201007212