What is the Least Common Multiple of 18912 and 18932?

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 18912 and 18932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18912 and 18932, than apply into the LCM equation.

GCF(18912,18932) = 4
LCM(18912,18932) = ( 18912 × 18932) / 4
LCM(18912,18932) = 358041984 / 4
LCM(18912,18932) = 89510496

Least Common Multiple (LCM) of 18912 and 18932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18912 and 18932. First we will calculate the prime factors of 18912 and 18932.

Prime Factorization of 18912

Prime Factorization of 18932

Now multiplying the highest exponent prime factors to calculate the LCM of 18912 and 18932.

LCM(18912,18932) = 2⁵ × 3¹ × 197¹ × 4733¹
LCM(18912,18932) = 89510496