What is the Least Common Multiple of 81317 and 81337?

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 81317 and 81337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81317 and 81337, than apply into the LCM equation.

GCF(81317,81337) = 1
LCM(81317,81337) = ( 81317 × 81337) / 1
LCM(81317,81337) = 6614080829 / 1
LCM(81317,81337) = 6614080829

Least Common Multiple (LCM) of 81317 and 81337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81317 and 81337. First we will calculate the prime factors of 81317 and 81337.

Prime Factorization of 81317

Prime Factorization of 81337

Now multiplying the highest exponent prime factors to calculate the LCM of 81317 and 81337.

LCM(81317,81337) = 233¹ × 349¹ × 163¹ × 499¹
LCM(81317,81337) = 6614080829