What is the Least Common Multiple of 12840 and 12856?

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 12840 and 12856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12840 and 12856, than apply into the LCM equation.

GCF(12840,12856) = 8
LCM(12840,12856) = ( 12840 × 12856) / 8
LCM(12840,12856) = 165071040 / 8
LCM(12840,12856) = 20633880

Least Common Multiple (LCM) of 12840 and 12856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12840 and 12856. First we will calculate the prime factors of 12840 and 12856.

Prime Factorization of 12840

Prime Factorization of 12856

Now multiplying the highest exponent prime factors to calculate the LCM of 12840 and 12856.

LCM(12840,12856) = 2³ × 3¹ × 5¹ × 107¹ × 1607¹
LCM(12840,12856) = 20633880