What is the Least Common Multiple of 22689 and 22700?

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 22700 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 22700, than apply into the LCM equation.

GCF(22689,22700) = 1
LCM(22689,22700) = ( 22689 × 22700) / 1
LCM(22689,22700) = 515040300 / 1
LCM(22689,22700) = 515040300

Least Common Multiple (LCM) of 22689 and 22700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22689 and 22700. First we will calculate the prime factors of 22689 and 22700.

Prime Factorization of 22689

Prime Factorization of 22700

Now multiplying the highest exponent prime factors to calculate the LCM of 22689 and 22700.

LCM(22689,22700) = 3² × 2521¹ × 2² × 5² × 227¹
LCM(22689,22700) = 515040300