What is the Least Common Multiple of 24255 and 24264?

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 24255 and 24264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24255 and 24264, than apply into the LCM equation.

GCF(24255,24264) = 9
LCM(24255,24264) = ( 24255 × 24264) / 9
LCM(24255,24264) = 588523320 / 9
LCM(24255,24264) = 65391480

Least Common Multiple (LCM) of 24255 and 24264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24255 and 24264. First we will calculate the prime factors of 24255 and 24264.

Prime Factorization of 24255

Prime Factorization of 24264

Now multiplying the highest exponent prime factors to calculate the LCM of 24255 and 24264.

LCM(24255,24264) = 3² × 5¹ × 7² × 11¹ × 2³ × 337¹
LCM(24255,24264) = 65391480