What is the Least Common Multiple of 22704 and 22709?

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 22704 and 22709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22704 and 22709, than apply into the LCM equation.

GCF(22704,22709) = 1
LCM(22704,22709) = ( 22704 × 22709) / 1
LCM(22704,22709) = 515585136 / 1
LCM(22704,22709) = 515585136

Least Common Multiple (LCM) of 22704 and 22709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22704 and 22709. First we will calculate the prime factors of 22704 and 22709.

Prime Factorization of 22704

Prime Factorization of 22709

Now multiplying the highest exponent prime factors to calculate the LCM of 22704 and 22709.

LCM(22704,22709) = 2⁴ × 3¹ × 11¹ × 43¹ × 22709¹
LCM(22704,22709) = 515585136