What is the Least Common Multiple of 86255 and 86269?

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 86255 and 86269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86255 and 86269, than apply into the LCM equation.

GCF(86255,86269) = 1
LCM(86255,86269) = ( 86255 × 86269) / 1
LCM(86255,86269) = 7441132595 / 1
LCM(86255,86269) = 7441132595

Least Common Multiple (LCM) of 86255 and 86269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86255 and 86269. First we will calculate the prime factors of 86255 and 86269.

Prime Factorization of 86255

Prime Factorization of 86269

Now multiplying the highest exponent prime factors to calculate the LCM of 86255 and 86269.

LCM(86255,86269) = 5¹ × 13¹ × 1327¹ × 86269¹
LCM(86255,86269) = 7441132595