What is the Least Common Multiple of 33564 and 33574?

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 33574 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 33574, than apply into the LCM equation.

GCF(33564,33574) = 2
LCM(33564,33574) = ( 33564 × 33574) / 2
LCM(33564,33574) = 1126877736 / 2
LCM(33564,33574) = 563438868

Least Common Multiple (LCM) of 33564 and 33574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33564 and 33574. First we will calculate the prime factors of 33564 and 33574.

Prime Factorization of 33564

Prime Factorization of 33574

Now multiplying the highest exponent prime factors to calculate the LCM of 33564 and 33574.

LCM(33564,33574) = 2² × 3¹ × 2797¹ × 16787¹
LCM(33564,33574) = 563438868