What is the Least Common Multiple of 71000 and 71005?

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 71000 and 71005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71000 and 71005, than apply into the LCM equation.

GCF(71000,71005) = 5
LCM(71000,71005) = ( 71000 × 71005) / 5
LCM(71000,71005) = 5041355000 / 5
LCM(71000,71005) = 1008271000

Least Common Multiple (LCM) of 71000 and 71005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71000 and 71005. First we will calculate the prime factors of 71000 and 71005.

Prime Factorization of 71000

Prime Factorization of 71005

Now multiplying the highest exponent prime factors to calculate the LCM of 71000 and 71005.

LCM(71000,71005) = 2³ × 5³ × 71¹ × 11¹ × 1291¹
LCM(71000,71005) = 1008271000