What is the Least Common Multiple of 39249 and 39255?

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 39249 and 39255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39249 and 39255, than apply into the LCM equation.

GCF(39249,39255) = 3
LCM(39249,39255) = ( 39249 × 39255) / 3
LCM(39249,39255) = 1540719495 / 3
LCM(39249,39255) = 513573165

Least Common Multiple (LCM) of 39249 and 39255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39249 and 39255. First we will calculate the prime factors of 39249 and 39255.

Prime Factorization of 39249

Prime Factorization of 39255

Now multiplying the highest exponent prime factors to calculate the LCM of 39249 and 39255.

LCM(39249,39255) = 3² × 7² × 89¹ × 5¹ × 2617¹
LCM(39249,39255) = 513573165