What is the Least Common Multiple of 12888 and 12897?

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 12888 and 12897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12888 and 12897, than apply into the LCM equation.

GCF(12888,12897) = 9
LCM(12888,12897) = ( 12888 × 12897) / 9
LCM(12888,12897) = 166216536 / 9
LCM(12888,12897) = 18468504

Least Common Multiple (LCM) of 12888 and 12897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12888 and 12897. First we will calculate the prime factors of 12888 and 12897.

Prime Factorization of 12888

Prime Factorization of 12897

Now multiplying the highest exponent prime factors to calculate the LCM of 12888 and 12897.

LCM(12888,12897) = 2³ × 3² × 179¹ × 1433¹
LCM(12888,12897) = 18468504