What is the Least Common Multiple of 65317 and 65335?

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 65317 and 65335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65317 and 65335, than apply into the LCM equation.

GCF(65317,65335) = 1
LCM(65317,65335) = ( 65317 × 65335) / 1
LCM(65317,65335) = 4267486195 / 1
LCM(65317,65335) = 4267486195

Least Common Multiple (LCM) of 65317 and 65335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65317 and 65335. First we will calculate the prime factors of 65317 and 65335.

Prime Factorization of 65317

Prime Factorization of 65335

Now multiplying the highest exponent prime factors to calculate the LCM of 65317 and 65335.

LCM(65317,65335) = 7² × 31¹ × 43¹ × 5¹ × 73¹ × 179¹
LCM(65317,65335) = 4267486195