What is the Least Common Multiple of 85986 and 86000?

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 85986 and 86000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85986 and 86000, than apply into the LCM equation.

GCF(85986,86000) = 2
LCM(85986,86000) = ( 85986 × 86000) / 2
LCM(85986,86000) = 7394796000 / 2
LCM(85986,86000) = 3697398000

Least Common Multiple (LCM) of 85986 and 86000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85986 and 86000. First we will calculate the prime factors of 85986 and 86000.

Prime Factorization of 85986

Prime Factorization of 86000

Now multiplying the highest exponent prime factors to calculate the LCM of 85986 and 86000.

LCM(85986,86000) = 2⁴ × 3² × 17¹ × 281¹ × 5³ × 43¹
LCM(85986,86000) = 3697398000