What is the Least Common Multiple of 48729 and 48735?

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 48729 and 48735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48729 and 48735, than apply into the LCM equation.

GCF(48729,48735) = 3
LCM(48729,48735) = ( 48729 × 48735) / 3
LCM(48729,48735) = 2374807815 / 3
LCM(48729,48735) = 791602605

Least Common Multiple (LCM) of 48729 and 48735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48729 and 48735. First we will calculate the prime factors of 48729 and 48735.

Prime Factorization of 48729

Prime Factorization of 48735

Now multiplying the highest exponent prime factors to calculate the LCM of 48729 and 48735.

LCM(48729,48735) = 3³ × 37¹ × 439¹ × 5¹ × 19²
LCM(48729,48735) = 791602605