What is the Least Common Multiple of 82317 and 82335?

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 82317 and 82335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82317 and 82335, than apply into the LCM equation.

GCF(82317,82335) = 3
LCM(82317,82335) = ( 82317 × 82335) / 3
LCM(82317,82335) = 6777570195 / 3
LCM(82317,82335) = 2259190065

Least Common Multiple (LCM) of 82317 and 82335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82317 and 82335. First we will calculate the prime factors of 82317 and 82335.

Prime Factorization of 82317

Prime Factorization of 82335

Now multiplying the highest exponent prime factors to calculate the LCM of 82317 and 82335.

LCM(82317,82335) = 3¹ × 23¹ × 1193¹ × 5¹ × 11¹ × 499¹
LCM(82317,82335) = 2259190065