What is the Least Common Multiple of 82839 and 82854?

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 82839 and 82854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82839 and 82854, than apply into the LCM equation.

GCF(82839,82854) = 3
LCM(82839,82854) = ( 82839 × 82854) / 3
LCM(82839,82854) = 6863542506 / 3
LCM(82839,82854) = 2287847502

Least Common Multiple (LCM) of 82839 and 82854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82839 and 82854. First we will calculate the prime factors of 82839 and 82854.

Prime Factorization of 82839

Prime Factorization of 82854

Now multiplying the highest exponent prime factors to calculate the LCM of 82839 and 82854.

LCM(82839,82854) = 3² × 53¹ × 521¹ × 2¹ × 4603¹
LCM(82839,82854) = 2287847502