What is the Least Common Multiple of 23472 and 23484?

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 23472 and 23484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23472 and 23484, than apply into the LCM equation.

GCF(23472,23484) = 12
LCM(23472,23484) = ( 23472 × 23484) / 12
LCM(23472,23484) = 551216448 / 12
LCM(23472,23484) = 45934704

Least Common Multiple (LCM) of 23472 and 23484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23472 and 23484. First we will calculate the prime factors of 23472 and 23484.

Prime Factorization of 23472

Prime Factorization of 23484

Now multiplying the highest exponent prime factors to calculate the LCM of 23472 and 23484.

LCM(23472,23484) = 2⁴ × 3² × 163¹ × 19¹ × 103¹
LCM(23472,23484) = 45934704