What is the Least Common Multiple of 8198 and 8203?

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 8198 and 8203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8198 and 8203, than apply into the LCM equation.

GCF(8198,8203) = 1
LCM(8198,8203) = ( 8198 × 8203) / 1
LCM(8198,8203) = 67248194 / 1
LCM(8198,8203) = 67248194

Least Common Multiple (LCM) of 8198 and 8203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8198 and 8203. First we will calculate the prime factors of 8198 and 8203.

Prime Factorization of 8198

Prime Factorization of 8203

Now multiplying the highest exponent prime factors to calculate the LCM of 8198 and 8203.

LCM(8198,8203) = 2¹ × 4099¹ × 13¹ × 631¹
LCM(8198,8203) = 67248194