What is the Least Common Multiple of 36271 and 36287?

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 36271 and 36287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36271 and 36287, than apply into the LCM equation.

GCF(36271,36287) = 1
LCM(36271,36287) = ( 36271 × 36287) / 1
LCM(36271,36287) = 1316165777 / 1
LCM(36271,36287) = 1316165777

Least Common Multiple (LCM) of 36271 and 36287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36271 and 36287. First we will calculate the prime factors of 36271 and 36287.

Prime Factorization of 36271

Prime Factorization of 36287

Now multiplying the highest exponent prime factors to calculate the LCM of 36271 and 36287.

LCM(36271,36287) = 19¹ × 23¹ × 83¹ × 131¹ × 277¹
LCM(36271,36287) = 1316165777