What is the Least Common Multiple of 39721 and 39739?

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 39721 and 39739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39721 and 39739, than apply into the LCM equation.

GCF(39721,39739) = 1
LCM(39721,39739) = ( 39721 × 39739) / 1
LCM(39721,39739) = 1578472819 / 1
LCM(39721,39739) = 1578472819

Least Common Multiple (LCM) of 39721 and 39739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39721 and 39739. First we will calculate the prime factors of 39721 and 39739.

Prime Factorization of 39721

Prime Factorization of 39739

Now multiplying the highest exponent prime factors to calculate the LCM of 39721 and 39739.

LCM(39721,39739) = 11¹ × 23¹ × 157¹ × 7² × 811¹
LCM(39721,39739) = 1578472819