What is the Least Common Multiple of 32718 and 32732?

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 32718 and 32732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32718 and 32732, than apply into the LCM equation.

GCF(32718,32732) = 14
LCM(32718,32732) = ( 32718 × 32732) / 14
LCM(32718,32732) = 1070925576 / 14
LCM(32718,32732) = 76494684

Least Common Multiple (LCM) of 32718 and 32732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32718 and 32732. First we will calculate the prime factors of 32718 and 32732.

Prime Factorization of 32718

Prime Factorization of 32732

Now multiplying the highest exponent prime factors to calculate the LCM of 32718 and 32732.

LCM(32718,32732) = 2² × 3¹ × 7² × 19¹ × 41¹ × 167¹
LCM(32718,32732) = 76494684