What is the Least Common Multiple of 45388 and 45404?

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 45388 and 45404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45388 and 45404, than apply into the LCM equation.

GCF(45388,45404) = 4
LCM(45388,45404) = ( 45388 × 45404) / 4
LCM(45388,45404) = 2060796752 / 4
LCM(45388,45404) = 515199188

Least Common Multiple (LCM) of 45388 and 45404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45388 and 45404. First we will calculate the prime factors of 45388 and 45404.

Prime Factorization of 45388

Prime Factorization of 45404

Now multiplying the highest exponent prime factors to calculate the LCM of 45388 and 45404.

LCM(45388,45404) = 2² × 7¹ × 1621¹ × 11351¹
LCM(45388,45404) = 515199188