What is the Least Common Multiple of 48729 and 48734?

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 48734 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 48734, than apply into the LCM equation.

GCF(48729,48734) = 1
LCM(48729,48734) = ( 48729 × 48734) / 1
LCM(48729,48734) = 2374759086 / 1
LCM(48729,48734) = 2374759086

Least Common Multiple (LCM) of 48729 and 48734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48729 and 48734. First we will calculate the prime factors of 48729 and 48734.

Prime Factorization of 48729

Prime Factorization of 48734

Now multiplying the highest exponent prime factors to calculate the LCM of 48729 and 48734.

LCM(48729,48734) = 3¹ × 37¹ × 439¹ × 2¹ × 7¹ × 59²
LCM(48729,48734) = 2374759086