What is the Least Common Multiple of 32190 and 32196?

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 32190 and 32196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32190 and 32196, than apply into the LCM equation.

GCF(32190,32196) = 6
LCM(32190,32196) = ( 32190 × 32196) / 6
LCM(32190,32196) = 1036389240 / 6
LCM(32190,32196) = 172731540

Least Common Multiple (LCM) of 32190 and 32196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32190 and 32196. First we will calculate the prime factors of 32190 and 32196.

Prime Factorization of 32190

Prime Factorization of 32196

Now multiplying the highest exponent prime factors to calculate the LCM of 32190 and 32196.

LCM(32190,32196) = 2² × 3¹ × 5¹ × 29¹ × 37¹ × 2683¹
LCM(32190,32196) = 172731540