What is the Least Common Multiple of 39688 and 39698?

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 39698 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 39698, than apply into the LCM equation.

GCF(39688,39698) = 2
LCM(39688,39698) = ( 39688 × 39698) / 2
LCM(39688,39698) = 1575534224 / 2
LCM(39688,39698) = 787767112

Least Common Multiple (LCM) of 39688 and 39698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39688 and 39698. First we will calculate the prime factors of 39688 and 39698.

Prime Factorization of 39688

Prime Factorization of 39698

Now multiplying the highest exponent prime factors to calculate the LCM of 39688 and 39698.

LCM(39688,39698) = 2³ × 11² × 41¹ × 23¹ × 863¹
LCM(39688,39698) = 787767112