What is the Least Common Multiple of 48723 and 48741?

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 48723 and 48741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48723 and 48741, than apply into the LCM equation.

GCF(48723,48741) = 3
LCM(48723,48741) = ( 48723 × 48741) / 3
LCM(48723,48741) = 2374807743 / 3
LCM(48723,48741) = 791602581

Least Common Multiple (LCM) of 48723 and 48741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48723 and 48741. First we will calculate the prime factors of 48723 and 48741.

Prime Factorization of 48723

Prime Factorization of 48741

Now multiplying the highest exponent prime factors to calculate the LCM of 48723 and 48741.

LCM(48723,48741) = 3¹ × 109¹ × 149¹ × 7¹ × 11¹ × 211¹
LCM(48723,48741) = 791602581