What is the Least Common Multiple of 22704 and 22718?

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 22718 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 22718, than apply into the LCM equation.

GCF(22704,22718) = 2
LCM(22704,22718) = ( 22704 × 22718) / 2
LCM(22704,22718) = 515789472 / 2
LCM(22704,22718) = 257894736

Least Common Multiple (LCM) of 22704 and 22718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22704 and 22718. First we will calculate the prime factors of 22704 and 22718.

Prime Factorization of 22704

Prime Factorization of 22718

Now multiplying the highest exponent prime factors to calculate the LCM of 22704 and 22718.

LCM(22704,22718) = 2⁴ × 3¹ × 11¹ × 43¹ × 37¹ × 307¹
LCM(22704,22718) = 257894736