What is the Least Common Multiple of 51822 and 51839?

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 51822 and 51839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51822 and 51839, than apply into the LCM equation.

GCF(51822,51839) = 1
LCM(51822,51839) = ( 51822 × 51839) / 1
LCM(51822,51839) = 2686400658 / 1
LCM(51822,51839) = 2686400658

Least Common Multiple (LCM) of 51822 and 51839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51822 and 51839. First we will calculate the prime factors of 51822 and 51839.

Prime Factorization of 51822

Prime Factorization of 51839

Now multiplying the highest exponent prime factors to calculate the LCM of 51822 and 51839.

LCM(51822,51839) = 2¹ × 3² × 2879¹ × 51839¹
LCM(51822,51839) = 2686400658