What is the Least Common Multiple of 81315 and 81323?

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 81315 and 81323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81315 and 81323, than apply into the LCM equation.

GCF(81315,81323) = 1
LCM(81315,81323) = ( 81315 × 81323) / 1
LCM(81315,81323) = 6612779745 / 1
LCM(81315,81323) = 6612779745

Least Common Multiple (LCM) of 81315 and 81323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81315 and 81323. First we will calculate the prime factors of 81315 and 81323.

Prime Factorization of 81315

Prime Factorization of 81323

Now multiplying the highest exponent prime factors to calculate the LCM of 81315 and 81323.

LCM(81315,81323) = 3² × 5¹ × 13¹ × 139¹ × 11¹ × 7393¹
LCM(81315,81323) = 6612779745