What is the Least Common Multiple of 53723 and 53741?

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 53723 and 53741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53723 and 53741, than apply into the LCM equation.

GCF(53723,53741) = 1
LCM(53723,53741) = ( 53723 × 53741) / 1
LCM(53723,53741) = 2887127743 / 1
LCM(53723,53741) = 2887127743

Least Common Multiple (LCM) of 53723 and 53741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53723 and 53741. First we will calculate the prime factors of 53723 and 53741.

Prime Factorization of 53723

Prime Factorization of 53741

Now multiplying the highest exponent prime factors to calculate the LCM of 53723 and 53741.

LCM(53723,53741) = 31¹ × 1733¹ × 61¹ × 881¹
LCM(53723,53741) = 2887127743