What is the Least Common Multiple of 32174 and 32180?

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 32174 and 32180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32174 and 32180, than apply into the LCM equation.

GCF(32174,32180) = 2
LCM(32174,32180) = ( 32174 × 32180) / 2
LCM(32174,32180) = 1035359320 / 2
LCM(32174,32180) = 517679660

Least Common Multiple (LCM) of 32174 and 32180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32174 and 32180. First we will calculate the prime factors of 32174 and 32180.

Prime Factorization of 32174

Prime Factorization of 32180

Now multiplying the highest exponent prime factors to calculate the LCM of 32174 and 32180.

LCM(32174,32180) = 2² × 16087¹ × 5¹ × 1609¹
LCM(32174,32180) = 517679660