What is the Least Common Multiple of 86255 and 86268?

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 86268 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 86268, than apply into the LCM equation.

GCF(86255,86268) = 13
LCM(86255,86268) = ( 86255 × 86268) / 13
LCM(86255,86268) = 7441046340 / 13
LCM(86255,86268) = 572388180

Least Common Multiple (LCM) of 86255 and 86268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86255 and 86268. First we will calculate the prime factors of 86255 and 86268.

Prime Factorization of 86255

Prime Factorization of 86268

Now multiplying the highest exponent prime factors to calculate the LCM of 86255 and 86268.

LCM(86255,86268) = 5¹ × 13¹ × 1327¹ × 2² × 3¹ × 7¹ × 79¹
LCM(86255,86268) = 572388180