What is the Least Common Multiple of 22683 and 22689?

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 22683 and 22689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22683 and 22689, than apply into the LCM equation.

GCF(22683,22689) = 3
LCM(22683,22689) = ( 22683 × 22689) / 3
LCM(22683,22689) = 514654587 / 3
LCM(22683,22689) = 171551529

Least Common Multiple (LCM) of 22683 and 22689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22683 and 22689. First we will calculate the prime factors of 22683 and 22689.

Prime Factorization of 22683

Prime Factorization of 22689

Now multiplying the highest exponent prime factors to calculate the LCM of 22683 and 22689.

LCM(22683,22689) = 3² × 7561¹ × 2521¹
LCM(22683,22689) = 171551529