What is the Least Common Multiple of 33489 and 33495?

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 33489 and 33495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33489 and 33495, than apply into the LCM equation.

GCF(33489,33495) = 3
LCM(33489,33495) = ( 33489 × 33495) / 3
LCM(33489,33495) = 1121714055 / 3
LCM(33489,33495) = 373904685

Least Common Multiple (LCM) of 33489 and 33495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33489 and 33495. First we will calculate the prime factors of 33489 and 33495.

Prime Factorization of 33489

Prime Factorization of 33495

Now multiplying the highest exponent prime factors to calculate the LCM of 33489 and 33495.

LCM(33489,33495) = 3² × 61² × 5¹ × 7¹ × 11¹ × 29¹
LCM(33489,33495) = 373904685