What is the Least Common Multiple of 86000 and 86005?

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 86000 and 86005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86000 and 86005, than apply into the LCM equation.

GCF(86000,86005) = 5
LCM(86000,86005) = ( 86000 × 86005) / 5
LCM(86000,86005) = 7396430000 / 5
LCM(86000,86005) = 1479286000

Least Common Multiple (LCM) of 86000 and 86005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86000 and 86005. First we will calculate the prime factors of 86000 and 86005.

Prime Factorization of 86000

Prime Factorization of 86005

Now multiplying the highest exponent prime factors to calculate the LCM of 86000 and 86005.

LCM(86000,86005) = 2⁴ × 5³ × 43¹ × 103¹ × 167¹
LCM(86000,86005) = 1479286000