What is the Least Common Multiple of 8191 and 8202?

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 8191 and 8202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8191 and 8202, than apply into the LCM equation.

GCF(8191,8202) = 1
LCM(8191,8202) = ( 8191 × 8202) / 1
LCM(8191,8202) = 67182582 / 1
LCM(8191,8202) = 67182582

Least Common Multiple (LCM) of 8191 and 8202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8191 and 8202. First we will calculate the prime factors of 8191 and 8202.

Prime Factorization of 8191

Prime Factorization of 8202

Now multiplying the highest exponent prime factors to calculate the LCM of 8191 and 8202.

LCM(8191,8202) = 8191¹ × 2¹ × 3¹ × 1367¹
LCM(8191,8202) = 67182582