What is the Least Common Multiple of 48723 and 48729?

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 48729 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 48729, than apply into the LCM equation.

GCF(48723,48729) = 3
LCM(48723,48729) = ( 48723 × 48729) / 3
LCM(48723,48729) = 2374223067 / 3
LCM(48723,48729) = 791407689

Least Common Multiple (LCM) of 48723 and 48729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48723 and 48729. First we will calculate the prime factors of 48723 and 48729.

Prime Factorization of 48723

Prime Factorization of 48729

Now multiplying the highest exponent prime factors to calculate the LCM of 48723 and 48729.

LCM(48723,48729) = 3¹ × 109¹ × 149¹ × 37¹ × 439¹
LCM(48723,48729) = 791407689