What is the Least Common Multiple of 23384 and 23404?

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 23384 and 23404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23384 and 23404, than apply into the LCM equation.

GCF(23384,23404) = 4
LCM(23384,23404) = ( 23384 × 23404) / 4
LCM(23384,23404) = 547279136 / 4
LCM(23384,23404) = 136819784

Least Common Multiple (LCM) of 23384 and 23404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23384 and 23404. First we will calculate the prime factors of 23384 and 23404.

Prime Factorization of 23384

Prime Factorization of 23404

Now multiplying the highest exponent prime factors to calculate the LCM of 23384 and 23404.

LCM(23384,23404) = 2³ × 37¹ × 79¹ × 5851¹
LCM(23384,23404) = 136819784