What is the Least Common Multiple of 39704 and 39723?

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 39723 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 39723, than apply into the LCM equation.

GCF(39704,39723) = 1
LCM(39704,39723) = ( 39704 × 39723) / 1
LCM(39704,39723) = 1577161992 / 1
LCM(39704,39723) = 1577161992

Least Common Multiple (LCM) of 39704 and 39723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39704 and 39723. First we will calculate the prime factors of 39704 and 39723.

Prime Factorization of 39704

Prime Factorization of 39723

Now multiplying the highest exponent prime factors to calculate the LCM of 39704 and 39723.

LCM(39704,39723) = 2³ × 7¹ × 709¹ × 3¹ × 13241¹
LCM(39704,39723) = 1577161992