What is the Least Common Multiple of 32556 and 32574?

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 32556 and 32574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32556 and 32574, than apply into the LCM equation.

GCF(32556,32574) = 6
LCM(32556,32574) = ( 32556 × 32574) / 6
LCM(32556,32574) = 1060479144 / 6
LCM(32556,32574) = 176746524

Least Common Multiple (LCM) of 32556 and 32574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32556 and 32574. First we will calculate the prime factors of 32556 and 32574.

Prime Factorization of 32556

Prime Factorization of 32574

Now multiplying the highest exponent prime factors to calculate the LCM of 32556 and 32574.

LCM(32556,32574) = 2² × 3¹ × 2713¹ × 61¹ × 89¹
LCM(32556,32574) = 176746524