What is the Least Common Multiple of 12840 and 12846?

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 12846 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 12846, than apply into the LCM equation.

GCF(12840,12846) = 6
LCM(12840,12846) = ( 12840 × 12846) / 6
LCM(12840,12846) = 164942640 / 6
LCM(12840,12846) = 27490440

Least Common Multiple (LCM) of 12840 and 12846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12840 and 12846. First we will calculate the prime factors of 12840 and 12846.

Prime Factorization of 12840

Prime Factorization of 12846

Now multiplying the highest exponent prime factors to calculate the LCM of 12840 and 12846.

LCM(12840,12846) = 2³ × 3¹ × 5¹ × 107¹ × 2141¹
LCM(12840,12846) = 27490440