What is the Least Common Multiple of 33025 and 33039?

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 33025 and 33039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33025 and 33039, than apply into the LCM equation.

GCF(33025,33039) = 1
LCM(33025,33039) = ( 33025 × 33039) / 1
LCM(33025,33039) = 1091112975 / 1
LCM(33025,33039) = 1091112975

Least Common Multiple (LCM) of 33025 and 33039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33025 and 33039. First we will calculate the prime factors of 33025 and 33039.

Prime Factorization of 33025

Prime Factorization of 33039

Now multiplying the highest exponent prime factors to calculate the LCM of 33025 and 33039.

LCM(33025,33039) = 5² × 1321¹ × 3² × 3671¹
LCM(33025,33039) = 1091112975