What is the Least Common Multiple of 81340 and 81355?

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 81340 and 81355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81340 and 81355, than apply into the LCM equation.

GCF(81340,81355) = 5
LCM(81340,81355) = ( 81340 × 81355) / 5
LCM(81340,81355) = 6617415700 / 5
LCM(81340,81355) = 1323483140

Least Common Multiple (LCM) of 81340 and 81355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81340 and 81355. First we will calculate the prime factors of 81340 and 81355.

Prime Factorization of 81340

Prime Factorization of 81355

Now multiplying the highest exponent prime factors to calculate the LCM of 81340 and 81355.

LCM(81340,81355) = 2² × 5¹ × 7² × 83¹ × 53¹ × 307¹
LCM(81340,81355) = 1323483140