What is the Least Common Multiple of 48804 and 48810?

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 48804 and 48810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48804 and 48810, than apply into the LCM equation.

GCF(48804,48810) = 6
LCM(48804,48810) = ( 48804 × 48810) / 6
LCM(48804,48810) = 2382123240 / 6
LCM(48804,48810) = 397020540

Least Common Multiple (LCM) of 48804 and 48810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48804 and 48810. First we will calculate the prime factors of 48804 and 48810.

Prime Factorization of 48804

Prime Factorization of 48810

Now multiplying the highest exponent prime factors to calculate the LCM of 48804 and 48810.

LCM(48804,48810) = 2² × 3¹ × 7² × 83¹ × 5¹ × 1627¹
LCM(48804,48810) = 397020540