What is the Least Common Multiple of 23304 and 23324?

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 23304 and 23324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23304 and 23324, than apply into the LCM equation.

GCF(23304,23324) = 4
LCM(23304,23324) = ( 23304 × 23324) / 4
LCM(23304,23324) = 543542496 / 4
LCM(23304,23324) = 135885624

Least Common Multiple (LCM) of 23304 and 23324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23304 and 23324. First we will calculate the prime factors of 23304 and 23324.

Prime Factorization of 23304

Prime Factorization of 23324

Now multiplying the highest exponent prime factors to calculate the LCM of 23304 and 23324.

LCM(23304,23324) = 2³ × 3¹ × 971¹ × 7³ × 17¹
LCM(23304,23324) = 135885624