What is the Least Common Multiple of 79993 and 80003?

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 80003 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 80003, than apply into the LCM equation.

GCF(79993,80003) = 1
LCM(79993,80003) = ( 79993 × 80003) / 1
LCM(79993,80003) = 6399679979 / 1
LCM(79993,80003) = 6399679979

Least Common Multiple (LCM) of 79993 and 80003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79993 and 80003. First we will calculate the prime factors of 79993 and 80003.

Prime Factorization of 79993

Prime Factorization of 80003

Now multiplying the highest exponent prime factors to calculate the LCM of 79993 and 80003.

LCM(79993,80003) = 167¹ × 479¹ × 7¹ × 11¹ × 1039¹
LCM(79993,80003) = 6399679979