What is the Least Common Multiple of 22689 and 22701?

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 22689 and 22701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22689 and 22701, than apply into the LCM equation.

GCF(22689,22701) = 3
LCM(22689,22701) = ( 22689 × 22701) / 3
LCM(22689,22701) = 515062989 / 3
LCM(22689,22701) = 171687663

Least Common Multiple (LCM) of 22689 and 22701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22689 and 22701. First we will calculate the prime factors of 22689 and 22701.

Prime Factorization of 22689

Prime Factorization of 22701

Now multiplying the highest exponent prime factors to calculate the LCM of 22689 and 22701.

LCM(22689,22701) = 3² × 2521¹ × 7¹ × 23¹ × 47¹
LCM(22689,22701) = 171687663