What is the Least Common Multiple of 8257 and 8271?

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 8257 and 8271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8257 and 8271, than apply into the LCM equation.

GCF(8257,8271) = 1
LCM(8257,8271) = ( 8257 × 8271) / 1
LCM(8257,8271) = 68293647 / 1
LCM(8257,8271) = 68293647

Least Common Multiple (LCM) of 8257 and 8271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8257 and 8271. First we will calculate the prime factors of 8257 and 8271.

Prime Factorization of 8257

Prime Factorization of 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 8257 and 8271.

LCM(8257,8271) = 23¹ × 359¹ × 3² × 919¹
LCM(8257,8271) = 68293647