What is the Least Common Multiple of 86223 and 86231?

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 86223 and 86231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86223 and 86231, than apply into the LCM equation.

GCF(86223,86231) = 1
LCM(86223,86231) = ( 86223 × 86231) / 1
LCM(86223,86231) = 7435095513 / 1
LCM(86223,86231) = 7435095513

Least Common Multiple (LCM) of 86223 and 86231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86223 and 86231. First we will calculate the prime factors of 86223 and 86231.

Prime Factorization of 86223

Prime Factorization of 86231

Now multiplying the highest exponent prime factors to calculate the LCM of 86223 and 86231.

LCM(86223,86231) = 3¹ × 41¹ × 701¹ × 53¹ × 1627¹
LCM(86223,86231) = 7435095513