What is the Least Common Multiple of 18792 and 18810?

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 18792 and 18810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18792 and 18810, than apply into the LCM equation.

GCF(18792,18810) = 18
LCM(18792,18810) = ( 18792 × 18810) / 18
LCM(18792,18810) = 353477520 / 18
LCM(18792,18810) = 19637640

Least Common Multiple (LCM) of 18792 and 18810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18792 and 18810. First we will calculate the prime factors of 18792 and 18810.

Prime Factorization of 18792

Prime Factorization of 18810

Now multiplying the highest exponent prime factors to calculate the LCM of 18792 and 18810.

LCM(18792,18810) = 2³ × 3⁴ × 29¹ × 5¹ × 11¹ × 19¹
LCM(18792,18810) = 19637640