What is the Least Common Multiple of 82345 and 82357?

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 82345 and 82357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82345 and 82357, than apply into the LCM equation.

GCF(82345,82357) = 1
LCM(82345,82357) = ( 82345 × 82357) / 1
LCM(82345,82357) = 6781687165 / 1
LCM(82345,82357) = 6781687165

Least Common Multiple (LCM) of 82345 and 82357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82345 and 82357. First we will calculate the prime factors of 82345 and 82357.

Prime Factorization of 82345

Prime Factorization of 82357

Now multiplying the highest exponent prime factors to calculate the LCM of 82345 and 82357.

LCM(82345,82357) = 5¹ × 43¹ × 383¹ × 11¹ × 7487¹
LCM(82345,82357) = 6781687165