What is the Least Common Multiple of 81385 and 81399?

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 81385 and 81399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81385 and 81399, than apply into the LCM equation.

GCF(81385,81399) = 1
LCM(81385,81399) = ( 81385 × 81399) / 1
LCM(81385,81399) = 6624657615 / 1
LCM(81385,81399) = 6624657615

Least Common Multiple (LCM) of 81385 and 81399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81385 and 81399. First we will calculate the prime factors of 81385 and 81399.

Prime Factorization of 81385

Prime Factorization of 81399

Now multiplying the highest exponent prime factors to calculate the LCM of 81385 and 81399.

LCM(81385,81399) = 5¹ × 41¹ × 397¹ × 3¹ × 43¹ × 631¹
LCM(81385,81399) = 6624657615