What is the Least Common Multiple of 65983 and 65999?

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 65983 and 65999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65983 and 65999, than apply into the LCM equation.

GCF(65983,65999) = 1
LCM(65983,65999) = ( 65983 × 65999) / 1
LCM(65983,65999) = 4354812017 / 1
LCM(65983,65999) = 4354812017

Least Common Multiple (LCM) of 65983 and 65999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65983 and 65999. First we will calculate the prime factors of 65983 and 65999.

Prime Factorization of 65983

Prime Factorization of 65999

Now multiplying the highest exponent prime factors to calculate the LCM of 65983 and 65999.

LCM(65983,65999) = 65983¹ × 31¹ × 2129¹
LCM(65983,65999) = 4354812017