What is the Least Common Multiple of 86245 and 86255?

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 86245 and 86255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86245 and 86255, than apply into the LCM equation.

GCF(86245,86255) = 5
LCM(86245,86255) = ( 86245 × 86255) / 5
LCM(86245,86255) = 7439062475 / 5
LCM(86245,86255) = 1487812495

Least Common Multiple (LCM) of 86245 and 86255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86245 and 86255. First we will calculate the prime factors of 86245 and 86255.

Prime Factorization of 86245

Prime Factorization of 86255

Now multiplying the highest exponent prime factors to calculate the LCM of 86245 and 86255.

LCM(86245,86255) = 5¹ × 47¹ × 367¹ × 13¹ × 1327¹
LCM(86245,86255) = 1487812495