What is the Least Common Multiple of 39708 and 39714?

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 39708 and 39714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39708 and 39714, than apply into the LCM equation.

GCF(39708,39714) = 6
LCM(39708,39714) = ( 39708 × 39714) / 6
LCM(39708,39714) = 1576963512 / 6
LCM(39708,39714) = 262827252

Least Common Multiple (LCM) of 39708 and 39714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39708 and 39714. First we will calculate the prime factors of 39708 and 39714.

Prime Factorization of 39708

Prime Factorization of 39714

Now multiplying the highest exponent prime factors to calculate the LCM of 39708 and 39714.

LCM(39708,39714) = 2² × 3² × 1103¹ × 6619¹
LCM(39708,39714) = 262827252