What is the Least Common Multiple of 33564 and 33570?

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 33564 and 33570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33564 and 33570, than apply into the LCM equation.

GCF(33564,33570) = 6
LCM(33564,33570) = ( 33564 × 33570) / 6
LCM(33564,33570) = 1126743480 / 6
LCM(33564,33570) = 187790580

Least Common Multiple (LCM) of 33564 and 33570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33564 and 33570. First we will calculate the prime factors of 33564 and 33570.

Prime Factorization of 33564

Prime Factorization of 33570

Now multiplying the highest exponent prime factors to calculate the LCM of 33564 and 33570.

LCM(33564,33570) = 2² × 3² × 2797¹ × 5¹ × 373¹
LCM(33564,33570) = 187790580