What is the Least Common Multiple of 39690 and 39704?

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 39690 and 39704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39690 and 39704, than apply into the LCM equation.

GCF(39690,39704) = 14
LCM(39690,39704) = ( 39690 × 39704) / 14
LCM(39690,39704) = 1575851760 / 14
LCM(39690,39704) = 112560840

Least Common Multiple (LCM) of 39690 and 39704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39690 and 39704. First we will calculate the prime factors of 39690 and 39704.

Prime Factorization of 39690

Prime Factorization of 39704

Now multiplying the highest exponent prime factors to calculate the LCM of 39690 and 39704.

LCM(39690,39704) = 2³ × 3⁴ × 5¹ × 7² × 709¹
LCM(39690,39704) = 112560840