What is the Least Common Multiple of 86273 and 86281?

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 86273 and 86281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86273 and 86281, than apply into the LCM equation.

GCF(86273,86281) = 1
LCM(86273,86281) = ( 86273 × 86281) / 1
LCM(86273,86281) = 7443720713 / 1
LCM(86273,86281) = 7443720713

Least Common Multiple (LCM) of 86273 and 86281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86273 and 86281. First we will calculate the prime factors of 86273 and 86281.

Prime Factorization of 86273

Prime Factorization of 86281

Now multiplying the highest exponent prime factors to calculate the LCM of 86273 and 86281.

LCM(86273,86281) = 11² × 23¹ × 31¹ × 13¹ × 6637¹
LCM(86273,86281) = 7443720713