What is the Least Common Multiple of 22959 and 22974?

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 22959 and 22974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22959 and 22974, than apply into the LCM equation.

GCF(22959,22974) = 3
LCM(22959,22974) = ( 22959 × 22974) / 3
LCM(22959,22974) = 527460066 / 3
LCM(22959,22974) = 175820022

Least Common Multiple (LCM) of 22959 and 22974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22959 and 22974. First we will calculate the prime factors of 22959 and 22974.

Prime Factorization of 22959

Prime Factorization of 22974

Now multiplying the highest exponent prime factors to calculate the LCM of 22959 and 22974.

LCM(22959,22974) = 3² × 2551¹ × 2¹ × 7¹ × 547¹
LCM(22959,22974) = 175820022