What is the Least Common Multiple of 23024 and 23036?

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 23024 and 23036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23024 and 23036, than apply into the LCM equation.

GCF(23024,23036) = 4
LCM(23024,23036) = ( 23024 × 23036) / 4
LCM(23024,23036) = 530380864 / 4
LCM(23024,23036) = 132595216

Least Common Multiple (LCM) of 23024 and 23036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23024 and 23036. First we will calculate the prime factors of 23024 and 23036.

Prime Factorization of 23024

Prime Factorization of 23036

Now multiplying the highest exponent prime factors to calculate the LCM of 23024 and 23036.

LCM(23024,23036) = 2⁴ × 1439¹ × 13¹ × 443¹
LCM(23024,23036) = 132595216