What is the Least Common Multiple of 79993 and 80001?

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 79993 and 80001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79993 and 80001, than apply into the LCM equation.

GCF(79993,80001) = 1
LCM(79993,80001) = ( 79993 × 80001) / 1
LCM(79993,80001) = 6399519993 / 1
LCM(79993,80001) = 6399519993

Least Common Multiple (LCM) of 79993 and 80001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79993 and 80001. First we will calculate the prime factors of 79993 and 80001.

Prime Factorization of 79993

Prime Factorization of 80001

Now multiplying the highest exponent prime factors to calculate the LCM of 79993 and 80001.

LCM(79993,80001) = 167¹ × 479¹ × 3³ × 2963¹
LCM(79993,80001) = 6399519993