What is the Least Common Multiple of 8388 and 8403?

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 8403 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 8403, than apply into the LCM equation.

GCF(8388,8403) = 3
LCM(8388,8403) = ( 8388 × 8403) / 3
LCM(8388,8403) = 70484364 / 3
LCM(8388,8403) = 23494788

Least Common Multiple (LCM) of 8388 and 8403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8388 and 8403. First we will calculate the prime factors of 8388 and 8403.

Prime Factorization of 8388

Prime Factorization of 8403

Now multiplying the highest exponent prime factors to calculate the LCM of 8388 and 8403.

LCM(8388,8403) = 2² × 3² × 233¹ × 2801¹
LCM(8388,8403) = 23494788