What is the Least Common Multiple of 8309 and 8317?

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 8309 and 8317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8309 and 8317, than apply into the LCM equation.

GCF(8309,8317) = 1
LCM(8309,8317) = ( 8309 × 8317) / 1
LCM(8309,8317) = 69105953 / 1
LCM(8309,8317) = 69105953

Least Common Multiple (LCM) of 8309 and 8317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8309 and 8317. First we will calculate the prime factors of 8309 and 8317.

Prime Factorization of 8309

Prime Factorization of 8317

Now multiplying the highest exponent prime factors to calculate the LCM of 8309 and 8317.

LCM(8309,8317) = 7¹ × 1187¹ × 8317¹
LCM(8309,8317) = 69105953