What is the Least Common Multiple of 82353 and 82369?

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 82353 and 82369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82353 and 82369, than apply into the LCM equation.

GCF(82353,82369) = 1
LCM(82353,82369) = ( 82353 × 82369) / 1
LCM(82353,82369) = 6783334257 / 1
LCM(82353,82369) = 6783334257

Least Common Multiple (LCM) of 82353 and 82369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82353 and 82369. First we will calculate the prime factors of 82353 and 82369.

Prime Factorization of 82353

Prime Factorization of 82369

Now multiplying the highest exponent prime factors to calculate the LCM of 82353 and 82369.

LCM(82353,82369) = 3¹ × 97¹ × 283¹ × 7² × 41²
LCM(82353,82369) = 6783334257