What is the Least Common Multiple of 39723 and 39737?

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 39723 and 39737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39723 and 39737, than apply into the LCM equation.

GCF(39723,39737) = 1
LCM(39723,39737) = ( 39723 × 39737) / 1
LCM(39723,39737) = 1578472851 / 1
LCM(39723,39737) = 1578472851

Least Common Multiple (LCM) of 39723 and 39737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39723 and 39737. First we will calculate the prime factors of 39723 and 39737.

Prime Factorization of 39723

Prime Factorization of 39737

Now multiplying the highest exponent prime factors to calculate the LCM of 39723 and 39737.

LCM(39723,39737) = 3¹ × 13241¹ × 79¹ × 503¹
LCM(39723,39737) = 1578472851