What is the Least Common Multiple of 65999 and 66007?

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 65999 and 66007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65999 and 66007, than apply into the LCM equation.

GCF(65999,66007) = 1
LCM(65999,66007) = ( 65999 × 66007) / 1
LCM(65999,66007) = 4356395993 / 1
LCM(65999,66007) = 4356395993

Least Common Multiple (LCM) of 65999 and 66007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65999 and 66007. First we will calculate the prime factors of 65999 and 66007.

Prime Factorization of 65999

Prime Factorization of 66007

Now multiplying the highest exponent prime factors to calculate the LCM of 65999 and 66007.

LCM(65999,66007) = 31¹ × 2129¹ × 149¹ × 443¹
LCM(65999,66007) = 4356395993