What is the Least Common Multiple of 39688 and 39696?

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 39688 and 39696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39688 and 39696, than apply into the LCM equation.

GCF(39688,39696) = 8
LCM(39688,39696) = ( 39688 × 39696) / 8
LCM(39688,39696) = 1575454848 / 8
LCM(39688,39696) = 196931856

Least Common Multiple (LCM) of 39688 and 39696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39688 and 39696. First we will calculate the prime factors of 39688 and 39696.

Prime Factorization of 39688

Prime Factorization of 39696

Now multiplying the highest exponent prime factors to calculate the LCM of 39688 and 39696.

LCM(39688,39696) = 2⁴ × 11² × 41¹ × 3¹ × 827¹
LCM(39688,39696) = 196931856