What is the Least Common Multiple of 39724 and 39741?

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 39724 and 39741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39724 and 39741, than apply into the LCM equation.

GCF(39724,39741) = 1
LCM(39724,39741) = ( 39724 × 39741) / 1
LCM(39724,39741) = 1578671484 / 1
LCM(39724,39741) = 1578671484

Least Common Multiple (LCM) of 39724 and 39741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39724 and 39741. First we will calculate the prime factors of 39724 and 39741.

Prime Factorization of 39724

Prime Factorization of 39741

Now multiplying the highest exponent prime factors to calculate the LCM of 39724 and 39741.

LCM(39724,39741) = 2² × 9931¹ × 3¹ × 13¹ × 1019¹
LCM(39724,39741) = 1578671484