What is the Least Common Multiple of 22959 and 22968?

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 22968 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 22968, than apply into the LCM equation.

GCF(22959,22968) = 9
LCM(22959,22968) = ( 22959 × 22968) / 9
LCM(22959,22968) = 527322312 / 9
LCM(22959,22968) = 58591368

Least Common Multiple (LCM) of 22959 and 22968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22959 and 22968. First we will calculate the prime factors of 22959 and 22968.

Prime Factorization of 22959

Prime Factorization of 22968

Now multiplying the highest exponent prime factors to calculate the LCM of 22959 and 22968.

LCM(22959,22968) = 3² × 2551¹ × 2³ × 11¹ × 29¹
LCM(22959,22968) = 58591368