What is the Least Common Multiple of 33108 and 33115?

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 33108 and 33115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33108 and 33115, than apply into the LCM equation.

GCF(33108,33115) = 1
LCM(33108,33115) = ( 33108 × 33115) / 1
LCM(33108,33115) = 1096371420 / 1
LCM(33108,33115) = 1096371420

Least Common Multiple (LCM) of 33108 and 33115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33108 and 33115. First we will calculate the prime factors of 33108 and 33115.

Prime Factorization of 33108

Prime Factorization of 33115

Now multiplying the highest exponent prime factors to calculate the LCM of 33108 and 33115.

LCM(33108,33115) = 2² × 3¹ × 31¹ × 89¹ × 5¹ × 37¹ × 179¹
LCM(33108,33115) = 1096371420