What is the Least Common Multiple of 22992 and 23000?

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 22992 and 23000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22992 and 23000, than apply into the LCM equation.

GCF(22992,23000) = 8
LCM(22992,23000) = ( 22992 × 23000) / 8
LCM(22992,23000) = 528816000 / 8
LCM(22992,23000) = 66102000

Least Common Multiple (LCM) of 22992 and 23000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22992 and 23000. First we will calculate the prime factors of 22992 and 23000.

Prime Factorization of 22992

Prime Factorization of 23000

Now multiplying the highest exponent prime factors to calculate the LCM of 22992 and 23000.

LCM(22992,23000) = 2⁴ × 3¹ × 479¹ × 5³ × 23¹
LCM(22992,23000) = 66102000