What is the Least Common Multiple of 12822 and 12840?

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 12822 and 12840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12822 and 12840, than apply into the LCM equation.

GCF(12822,12840) = 6
LCM(12822,12840) = ( 12822 × 12840) / 6
LCM(12822,12840) = 164634480 / 6
LCM(12822,12840) = 27439080

Least Common Multiple (LCM) of 12822 and 12840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12822 and 12840. First we will calculate the prime factors of 12822 and 12840.

Prime Factorization of 12822

Prime Factorization of 12840

Now multiplying the highest exponent prime factors to calculate the LCM of 12822 and 12840.

LCM(12822,12840) = 2³ × 3¹ × 2137¹ × 5¹ × 107¹
LCM(12822,12840) = 27439080