What is the Least Common Multiple of 80000 and 80012?

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 80000 and 80012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80000 and 80012, than apply into the LCM equation.

GCF(80000,80012) = 4
LCM(80000,80012) = ( 80000 × 80012) / 4
LCM(80000,80012) = 6400960000 / 4
LCM(80000,80012) = 1600240000

Least Common Multiple (LCM) of 80000 and 80012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80000 and 80012. First we will calculate the prime factors of 80000 and 80012.

Prime Factorization of 80000

Prime Factorization of 80012

Now multiplying the highest exponent prime factors to calculate the LCM of 80000 and 80012.

LCM(80000,80012) = 2⁷ × 5⁴ × 83¹ × 241¹
LCM(80000,80012) = 1600240000