What is the Least Common Multiple of 23598 and 23616?

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 23598 and 23616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23598 and 23616, than apply into the LCM equation.

GCF(23598,23616) = 18
LCM(23598,23616) = ( 23598 × 23616) / 18
LCM(23598,23616) = 557290368 / 18
LCM(23598,23616) = 30960576

Least Common Multiple (LCM) of 23598 and 23616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23598 and 23616. First we will calculate the prime factors of 23598 and 23616.

Prime Factorization of 23598

Prime Factorization of 23616

Now multiplying the highest exponent prime factors to calculate the LCM of 23598 and 23616.

LCM(23598,23616) = 2⁶ × 3³ × 19¹ × 23¹ × 41¹
LCM(23598,23616) = 30960576