What is the Least Common Multiple of 82346 and 82366?

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 82346 and 82366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82346 and 82366, than apply into the LCM equation.

GCF(82346,82366) = 2
LCM(82346,82366) = ( 82346 × 82366) / 2
LCM(82346,82366) = 6782510636 / 2
LCM(82346,82366) = 3391255318

Least Common Multiple (LCM) of 82346 and 82366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82346 and 82366. First we will calculate the prime factors of 82346 and 82366.

Prime Factorization of 82346

Prime Factorization of 82366

Now multiplying the highest exponent prime factors to calculate the LCM of 82346 and 82366.

LCM(82346,82366) = 2¹ × 11¹ × 19¹ × 197¹ × 41183¹
LCM(82346,82366) = 3391255318