What is the Least Common Multiple of 47864 and 47882?

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 47864 and 47882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47864 and 47882, than apply into the LCM equation.

GCF(47864,47882) = 2
LCM(47864,47882) = ( 47864 × 47882) / 2
LCM(47864,47882) = 2291824048 / 2
LCM(47864,47882) = 1145912024

Least Common Multiple (LCM) of 47864 and 47882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47864 and 47882. First we will calculate the prime factors of 47864 and 47882.

Prime Factorization of 47864

Prime Factorization of 47882

Now multiplying the highest exponent prime factors to calculate the LCM of 47864 and 47882.

LCM(47864,47882) = 2³ × 31¹ × 193¹ × 89¹ × 269¹
LCM(47864,47882) = 1145912024