What is the Least Common Multiple of 26312 and 26331?

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 26312 and 26331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26312 and 26331, than apply into the LCM equation.

GCF(26312,26331) = 1
LCM(26312,26331) = ( 26312 × 26331) / 1
LCM(26312,26331) = 692821272 / 1
LCM(26312,26331) = 692821272

Least Common Multiple (LCM) of 26312 and 26331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26312 and 26331. First we will calculate the prime factors of 26312 and 26331.

Prime Factorization of 26312

Prime Factorization of 26331

Now multiplying the highest exponent prime factors to calculate the LCM of 26312 and 26331.

LCM(26312,26331) = 2³ × 11¹ × 13¹ × 23¹ × 3¹ × 67¹ × 131¹
LCM(26312,26331) = 692821272