What is the Least Common Multiple of 39255 and 39264?

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 39255 and 39264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39255 and 39264, than apply into the LCM equation.

GCF(39255,39264) = 3
LCM(39255,39264) = ( 39255 × 39264) / 3
LCM(39255,39264) = 1541308320 / 3
LCM(39255,39264) = 513769440

Least Common Multiple (LCM) of 39255 and 39264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39255 and 39264. First we will calculate the prime factors of 39255 and 39264.

Prime Factorization of 39255

Prime Factorization of 39264

Now multiplying the highest exponent prime factors to calculate the LCM of 39255 and 39264.

LCM(39255,39264) = 3¹ × 5¹ × 2617¹ × 2⁵ × 409¹
LCM(39255,39264) = 513769440