What is the Least Common Multiple of 86219 and 86239?

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 86219 and 86239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86219 and 86239, than apply into the LCM equation.

GCF(86219,86239) = 1
LCM(86219,86239) = ( 86219 × 86239) / 1
LCM(86219,86239) = 7435440341 / 1
LCM(86219,86239) = 7435440341

Least Common Multiple (LCM) of 86219 and 86239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86219 and 86239. First we will calculate the prime factors of 86219 and 86239.

Prime Factorization of 86219

Prime Factorization of 86239

Now multiplying the highest exponent prime factors to calculate the LCM of 86219 and 86239.

LCM(86219,86239) = 7¹ × 109¹ × 113¹ × 86239¹
LCM(86219,86239) = 7435440341