What is the Least Common Multiple of 8388 and 8401?

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 8388 and 8401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8388 and 8401, than apply into the LCM equation.

GCF(8388,8401) = 1
LCM(8388,8401) = ( 8388 × 8401) / 1
LCM(8388,8401) = 70467588 / 1
LCM(8388,8401) = 70467588

Least Common Multiple (LCM) of 8388 and 8401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8388 and 8401. First we will calculate the prime factors of 8388 and 8401.

Prime Factorization of 8388

Prime Factorization of 8401

Now multiplying the highest exponent prime factors to calculate the LCM of 8388 and 8401.

LCM(8388,8401) = 2² × 3² × 233¹ × 31¹ × 271¹
LCM(8388,8401) = 70467588