What is the Least Common Multiple of 86265 and 86271?

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 86265 and 86271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86265 and 86271, than apply into the LCM equation.

GCF(86265,86271) = 3
LCM(86265,86271) = ( 86265 × 86271) / 3
LCM(86265,86271) = 7442167815 / 3
LCM(86265,86271) = 2480722605

Least Common Multiple (LCM) of 86265 and 86271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86265 and 86271. First we will calculate the prime factors of 86265 and 86271.

Prime Factorization of 86265

Prime Factorization of 86271

Now multiplying the highest exponent prime factors to calculate the LCM of 86265 and 86271.

LCM(86265,86271) = 3⁵ × 5¹ × 71¹ × 149¹ × 193¹
LCM(86265,86271) = 2480722605