What is the Least Common Multiple of 86200 and 86219?

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 86200 and 86219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86200 and 86219, than apply into the LCM equation.

GCF(86200,86219) = 1
LCM(86200,86219) = ( 86200 × 86219) / 1
LCM(86200,86219) = 7432077800 / 1
LCM(86200,86219) = 7432077800

Least Common Multiple (LCM) of 86200 and 86219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86200 and 86219. First we will calculate the prime factors of 86200 and 86219.

Prime Factorization of 86200

Prime Factorization of 86219

Now multiplying the highest exponent prime factors to calculate the LCM of 86200 and 86219.

LCM(86200,86219) = 2³ × 5² × 431¹ × 7¹ × 109¹ × 113¹
LCM(86200,86219) = 7432077800