What is the Least Common Multiple of 22971 and 22986?

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 22971 and 22986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22971 and 22986, than apply into the LCM equation.

GCF(22971,22986) = 3
LCM(22971,22986) = ( 22971 × 22986) / 3
LCM(22971,22986) = 528011406 / 3
LCM(22971,22986) = 176003802

Least Common Multiple (LCM) of 22971 and 22986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22971 and 22986. First we will calculate the prime factors of 22971 and 22986.

Prime Factorization of 22971

Prime Factorization of 22986

Now multiplying the highest exponent prime factors to calculate the LCM of 22971 and 22986.

LCM(22971,22986) = 3² × 13¹ × 19¹ × 31¹ × 2¹ × 1277¹
LCM(22971,22986) = 176003802