What is the Least Common Multiple of 33249 and 33255?

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 33249 and 33255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33249 and 33255, than apply into the LCM equation.

GCF(33249,33255) = 3
LCM(33249,33255) = ( 33249 × 33255) / 3
LCM(33249,33255) = 1105695495 / 3
LCM(33249,33255) = 368565165

Least Common Multiple (LCM) of 33249 and 33255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33249 and 33255. First we will calculate the prime factors of 33249 and 33255.

Prime Factorization of 33249

Prime Factorization of 33255

Now multiplying the highest exponent prime factors to calculate the LCM of 33249 and 33255.

LCM(33249,33255) = 3² × 11083¹ × 5¹ × 739¹
LCM(33249,33255) = 368565165