What is the Least Common Multiple of 82300 and 82305?

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 82305 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 82305, than apply into the LCM equation.

GCF(82300,82305) = 5
LCM(82300,82305) = ( 82300 × 82305) / 5
LCM(82300,82305) = 6773701500 / 5
LCM(82300,82305) = 1354740300

Least Common Multiple (LCM) of 82300 and 82305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82300 and 82305. First we will calculate the prime factors of 82300 and 82305.

Prime Factorization of 82300

Prime Factorization of 82305

Now multiplying the highest exponent prime factors to calculate the LCM of 82300 and 82305.

LCM(82300,82305) = 2² × 5² × 823¹ × 3² × 31¹ × 59¹
LCM(82300,82305) = 1354740300