What is the Least Common Multiple of 33255 and 33265?

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 33255 and 33265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33255 and 33265, than apply into the LCM equation.

GCF(33255,33265) = 5
LCM(33255,33265) = ( 33255 × 33265) / 5
LCM(33255,33265) = 1106227575 / 5
LCM(33255,33265) = 221245515

Least Common Multiple (LCM) of 33255 and 33265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33255 and 33265. First we will calculate the prime factors of 33255 and 33265.

Prime Factorization of 33255

Prime Factorization of 33265

Now multiplying the highest exponent prime factors to calculate the LCM of 33255 and 33265.

LCM(33255,33265) = 3² × 5¹ × 739¹ × 6653¹
LCM(33255,33265) = 221245515