What is the Least Common Multiple of 82300 and 82304?

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 82300 and 82304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82300 and 82304, than apply into the LCM equation.

GCF(82300,82304) = 4
LCM(82300,82304) = ( 82300 × 82304) / 4
LCM(82300,82304) = 6773619200 / 4
LCM(82300,82304) = 1693404800

Least Common Multiple (LCM) of 82300 and 82304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82300 and 82304. First we will calculate the prime factors of 82300 and 82304.

Prime Factorization of 82300

Prime Factorization of 82304

Now multiplying the highest exponent prime factors to calculate the LCM of 82300 and 82304.

LCM(82300,82304) = 2⁷ × 5² × 823¹ × 643¹
LCM(82300,82304) = 1693404800