What is the Least Common Multiple of 12840 and 12855?

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 12855 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 12855, than apply into the LCM equation.

GCF(12840,12855) = 15
LCM(12840,12855) = ( 12840 × 12855) / 15
LCM(12840,12855) = 165058200 / 15
LCM(12840,12855) = 11003880

Least Common Multiple (LCM) of 12840 and 12855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12840 and 12855. First we will calculate the prime factors of 12840 and 12855.

Prime Factorization of 12840

Prime Factorization of 12855

Now multiplying the highest exponent prime factors to calculate the LCM of 12840 and 12855.

LCM(12840,12855) = 2³ × 3¹ × 5¹ × 107¹ × 857¹
LCM(12840,12855) = 11003880