What is the Least Common Multiple of 82854 and 82872?

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 82854 and 82872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82854 and 82872, than apply into the LCM equation.

GCF(82854,82872) = 18
LCM(82854,82872) = ( 82854 × 82872) / 18
LCM(82854,82872) = 6866276688 / 18
LCM(82854,82872) = 381459816

Least Common Multiple (LCM) of 82854 and 82872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82854 and 82872. First we will calculate the prime factors of 82854 and 82872.

Prime Factorization of 82854

Prime Factorization of 82872

Now multiplying the highest exponent prime factors to calculate the LCM of 82854 and 82872.

LCM(82854,82872) = 2³ × 3² × 4603¹ × 1151¹
LCM(82854,82872) = 381459816