What is the Least Common Multiple of 80008 and 80022?

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 80008 and 80022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80008 and 80022, than apply into the LCM equation.

GCF(80008,80022) = 2
LCM(80008,80022) = ( 80008 × 80022) / 2
LCM(80008,80022) = 6402400176 / 2
LCM(80008,80022) = 3201200088

Least Common Multiple (LCM) of 80008 and 80022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80008 and 80022. First we will calculate the prime factors of 80008 and 80022.

Prime Factorization of 80008

Prime Factorization of 80022

Now multiplying the highest exponent prime factors to calculate the LCM of 80008 and 80022.

LCM(80008,80022) = 2³ × 73¹ × 137¹ × 3¹ × 13337¹
LCM(80008,80022) = 3201200088