What is the Least Common Multiple of 42723 and 42741?

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 42723 and 42741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42723 and 42741, than apply into the LCM equation.

GCF(42723,42741) = 9
LCM(42723,42741) = ( 42723 × 42741) / 9
LCM(42723,42741) = 1826023743 / 9
LCM(42723,42741) = 202891527

Least Common Multiple (LCM) of 42723 and 42741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42723 and 42741. First we will calculate the prime factors of 42723 and 42741.

Prime Factorization of 42723

Prime Factorization of 42741

Now multiplying the highest exponent prime factors to calculate the LCM of 42723 and 42741.

LCM(42723,42741) = 3³ × 47¹ × 101¹ × 1583¹
LCM(42723,42741) = 202891527