What is the Least Common Multiple of 82596 and 82605?

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 82596 and 82605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82596 and 82605, than apply into the LCM equation.

GCF(82596,82605) = 3
LCM(82596,82605) = ( 82596 × 82605) / 3
LCM(82596,82605) = 6822842580 / 3
LCM(82596,82605) = 2274280860

Least Common Multiple (LCM) of 82596 and 82605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82596 and 82605. First we will calculate the prime factors of 82596 and 82605.

Prime Factorization of 82596

Prime Factorization of 82605

Now multiplying the highest exponent prime factors to calculate the LCM of 82596 and 82605.

LCM(82596,82605) = 2² × 3¹ × 6883¹ × 5¹ × 5507¹
LCM(82596,82605) = 2274280860