What is the Least Common Multiple of 81355 and 81369?

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 81355 and 81369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81355 and 81369, than apply into the LCM equation.

GCF(81355,81369) = 1
LCM(81355,81369) = ( 81355 × 81369) / 1
LCM(81355,81369) = 6619774995 / 1
LCM(81355,81369) = 6619774995

Least Common Multiple (LCM) of 81355 and 81369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81355 and 81369. First we will calculate the prime factors of 81355 and 81369.

Prime Factorization of 81355

Prime Factorization of 81369

Now multiplying the highest exponent prime factors to calculate the LCM of 81355 and 81369.

LCM(81355,81369) = 5¹ × 53¹ × 307¹ × 3² × 9041¹
LCM(81355,81369) = 6619774995