What is the Least Common Multiple of 32688 and 32708?

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 32688 and 32708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32688 and 32708, than apply into the LCM equation.

GCF(32688,32708) = 4
LCM(32688,32708) = ( 32688 × 32708) / 4
LCM(32688,32708) = 1069159104 / 4
LCM(32688,32708) = 267289776

Least Common Multiple (LCM) of 32688 and 32708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32688 and 32708. First we will calculate the prime factors of 32688 and 32708.

Prime Factorization of 32688

Prime Factorization of 32708

Now multiplying the highest exponent prime factors to calculate the LCM of 32688 and 32708.

LCM(32688,32708) = 2⁴ × 3² × 227¹ × 13¹ × 17¹ × 37¹
LCM(32688,32708) = 267289776