What is the Least Common Multiple of 24723 and 24741?

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 24723 and 24741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24723 and 24741, than apply into the LCM equation.

GCF(24723,24741) = 9
LCM(24723,24741) = ( 24723 × 24741) / 9
LCM(24723,24741) = 611671743 / 9
LCM(24723,24741) = 67963527

Least Common Multiple (LCM) of 24723 and 24741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24723 and 24741. First we will calculate the prime factors of 24723 and 24741.

Prime Factorization of 24723

Prime Factorization of 24741

Now multiplying the highest exponent prime factors to calculate the LCM of 24723 and 24741.

LCM(24723,24741) = 3² × 41¹ × 67¹ × 2749¹
LCM(24723,24741) = 67963527