What is the Least Common Multiple of 39704 and 39708?

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 39704 and 39708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39704 and 39708, than apply into the LCM equation.

GCF(39704,39708) = 4
LCM(39704,39708) = ( 39704 × 39708) / 4
LCM(39704,39708) = 1576566432 / 4
LCM(39704,39708) = 394141608

Least Common Multiple (LCM) of 39704 and 39708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39704 and 39708. First we will calculate the prime factors of 39704 and 39708.

Prime Factorization of 39704

Prime Factorization of 39708

Now multiplying the highest exponent prime factors to calculate the LCM of 39704 and 39708.

LCM(39704,39708) = 2³ × 7¹ × 709¹ × 3² × 1103¹
LCM(39704,39708) = 394141608