What is the Least Common Multiple of 12840 and 12860?

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 12860 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 12860, than apply into the LCM equation.

GCF(12840,12860) = 20
LCM(12840,12860) = ( 12840 × 12860) / 20
LCM(12840,12860) = 165122400 / 20
LCM(12840,12860) = 8256120

Least Common Multiple (LCM) of 12840 and 12860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12840 and 12860. First we will calculate the prime factors of 12840 and 12860.

Prime Factorization of 12840

Prime Factorization of 12860

Now multiplying the highest exponent prime factors to calculate the LCM of 12840 and 12860.

LCM(12840,12860) = 2³ × 3¹ × 5¹ × 107¹ × 643¹
LCM(12840,12860) = 8256120