What is the Least Common Multiple of 33180 and 33185?

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 33180 and 33185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33180 and 33185, than apply into the LCM equation.

GCF(33180,33185) = 5
LCM(33180,33185) = ( 33180 × 33185) / 5
LCM(33180,33185) = 1101078300 / 5
LCM(33180,33185) = 220215660

Least Common Multiple (LCM) of 33180 and 33185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33180 and 33185. First we will calculate the prime factors of 33180 and 33185.

Prime Factorization of 33180

Prime Factorization of 33185

Now multiplying the highest exponent prime factors to calculate the LCM of 33180 and 33185.

LCM(33180,33185) = 2² × 3¹ × 5¹ × 7¹ × 79¹ × 6637¹
LCM(33180,33185) = 220215660