What is the Least Common Multiple of 48729 and 48738?

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 48738 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 48738, than apply into the LCM equation.

GCF(48729,48738) = 3
LCM(48729,48738) = ( 48729 × 48738) / 3
LCM(48729,48738) = 2374954002 / 3
LCM(48729,48738) = 791651334

Least Common Multiple (LCM) of 48729 and 48738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48729 and 48738. First we will calculate the prime factors of 48729 and 48738.

Prime Factorization of 48729

Prime Factorization of 48738

Now multiplying the highest exponent prime factors to calculate the LCM of 48729 and 48738.

LCM(48729,48738) = 3¹ × 37¹ × 439¹ × 2¹ × 8123¹
LCM(48729,48738) = 791651334