What is the Least Common Multiple of 12782 and 12789?

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 12782 and 12789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12782 and 12789, than apply into the LCM equation.

GCF(12782,12789) = 7
LCM(12782,12789) = ( 12782 × 12789) / 7
LCM(12782,12789) = 163468998 / 7
LCM(12782,12789) = 23352714

Least Common Multiple (LCM) of 12782 and 12789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12782 and 12789. First we will calculate the prime factors of 12782 and 12789.

Prime Factorization of 12782

Prime Factorization of 12789

Now multiplying the highest exponent prime factors to calculate the LCM of 12782 and 12789.

LCM(12782,12789) = 2¹ × 7² × 11¹ × 83¹ × 3² × 29¹
LCM(12782,12789) = 23352714