What is the Least Common Multiple of 80017 and 80023?

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 80017 and 80023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80017 and 80023, than apply into the LCM equation.

GCF(80017,80023) = 1
LCM(80017,80023) = ( 80017 × 80023) / 1
LCM(80017,80023) = 6403200391 / 1
LCM(80017,80023) = 6403200391

Least Common Multiple (LCM) of 80017 and 80023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80017 and 80023. First we will calculate the prime factors of 80017 and 80023.

Prime Factorization of 80017

Prime Factorization of 80023

Now multiplying the highest exponent prime factors to calculate the LCM of 80017 and 80023.

LCM(80017,80023) = 7² × 23¹ × 71¹ × 43¹ × 1861¹
LCM(80017,80023) = 6403200391