What is the Least Common Multiple of 30804 and 30810?

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 30804 and 30810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30804 and 30810, than apply into the LCM equation.

GCF(30804,30810) = 6
LCM(30804,30810) = ( 30804 × 30810) / 6
LCM(30804,30810) = 949071240 / 6
LCM(30804,30810) = 158178540

Least Common Multiple (LCM) of 30804 and 30810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30804 and 30810. First we will calculate the prime factors of 30804 and 30810.

Prime Factorization of 30804

Prime Factorization of 30810

Now multiplying the highest exponent prime factors to calculate the LCM of 30804 and 30810.

LCM(30804,30810) = 2² × 3¹ × 17¹ × 151¹ × 5¹ × 13¹ × 79¹
LCM(30804,30810) = 158178540