What is the Least Common Multiple of 52723 and 52741?

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 52723 and 52741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52723 and 52741, than apply into the LCM equation.

GCF(52723,52741) = 1
LCM(52723,52741) = ( 52723 × 52741) / 1
LCM(52723,52741) = 2780663743 / 1
LCM(52723,52741) = 2780663743

Least Common Multiple (LCM) of 52723 and 52741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52723 and 52741. First we will calculate the prime factors of 52723 and 52741.

Prime Factorization of 52723

Prime Factorization of 52741

Now multiplying the highest exponent prime factors to calculate the LCM of 52723 and 52741.

LCM(52723,52741) = 11¹ × 4793¹ × 13¹ × 4057¹
LCM(52723,52741) = 2780663743