What is the Least Common Multiple of 23472 and 23487?

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 23487 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 23487, than apply into the LCM equation.

GCF(23472,23487) = 3
LCM(23472,23487) = ( 23472 × 23487) / 3
LCM(23472,23487) = 551286864 / 3
LCM(23472,23487) = 183762288

Least Common Multiple (LCM) of 23472 and 23487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23472 and 23487. First we will calculate the prime factors of 23472 and 23487.

Prime Factorization of 23472

Prime Factorization of 23487

Now multiplying the highest exponent prime factors to calculate the LCM of 23472 and 23487.

LCM(23472,23487) = 2⁴ × 3² × 163¹ × 7829¹
LCM(23472,23487) = 183762288