What is the Least Common Multiple of 86239 and 86243?

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 86239 and 86243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86239 and 86243, than apply into the LCM equation.

GCF(86239,86243) = 1
LCM(86239,86243) = ( 86239 × 86243) / 1
LCM(86239,86243) = 7437510077 / 1
LCM(86239,86243) = 7437510077

Least Common Multiple (LCM) of 86239 and 86243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86239 and 86243. First we will calculate the prime factors of 86239 and 86243.

Prime Factorization of 86239

Prime Factorization of 86243

Now multiplying the highest exponent prime factors to calculate the LCM of 86239 and 86243.

LCM(86239,86243) = 86239¹ × 86243¹
LCM(86239,86243) = 7437510077