What is the Least Common Multiple of 12854 and 12864?

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 12854 and 12864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12854 and 12864, than apply into the LCM equation.

GCF(12854,12864) = 2
LCM(12854,12864) = ( 12854 × 12864) / 2
LCM(12854,12864) = 165353856 / 2
LCM(12854,12864) = 82676928

Least Common Multiple (LCM) of 12854 and 12864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12854 and 12864. First we will calculate the prime factors of 12854 and 12864.

Prime Factorization of 12854

Prime Factorization of 12864

Now multiplying the highest exponent prime factors to calculate the LCM of 12854 and 12864.

LCM(12854,12864) = 2⁶ × 6427¹ × 3¹ × 67¹
LCM(12854,12864) = 82676928