What is the Least Common Multiple of 80000 and 80009?

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 80009 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 80009, than apply into the LCM equation.

GCF(80000,80009) = 1
LCM(80000,80009) = ( 80000 × 80009) / 1
LCM(80000,80009) = 6400720000 / 1
LCM(80000,80009) = 6400720000

Least Common Multiple (LCM) of 80000 and 80009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80000 and 80009. First we will calculate the prime factors of 80000 and 80009.

Prime Factorization of 80000

Prime Factorization of 80009

Now multiplying the highest exponent prime factors to calculate the LCM of 80000 and 80009.

LCM(80000,80009) = 2⁷ × 5⁴ × 19¹ × 4211¹
LCM(80000,80009) = 6400720000