What is the Least Common Multiple of 22996 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 22996 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 22996 and 23000, than apply into the LCM equation.

GCF(22996,23000) = 4
LCM(22996,23000) = ( 22996 × 23000) / 4
LCM(22996,23000) = 528908000 / 4
LCM(22996,23000) = 132227000

Least Common Multiple (LCM) of 22996 and 23000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22996 and 23000. First we will calculate the prime factors of 22996 and 23000.

Prime Factorization of 22996

Prime Factorization of 23000

Now multiplying the highest exponent prime factors to calculate the LCM of 22996 and 23000.

LCM(22996,23000) = 2³ × 5749¹ × 5³ × 23¹
LCM(22996,23000) = 132227000