What is the Least Common Multiple of 33005 and 33025?

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 33005 and 33025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33005 and 33025, than apply into the LCM equation.

GCF(33005,33025) = 5
LCM(33005,33025) = ( 33005 × 33025) / 5
LCM(33005,33025) = 1089990125 / 5
LCM(33005,33025) = 217998025

Least Common Multiple (LCM) of 33005 and 33025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33005 and 33025. First we will calculate the prime factors of 33005 and 33025.

Prime Factorization of 33005

Prime Factorization of 33025

Now multiplying the highest exponent prime factors to calculate the LCM of 33005 and 33025.

LCM(33005,33025) = 5² × 7¹ × 23¹ × 41¹ × 1321¹
LCM(33005,33025) = 217998025