What is the Least Common Multiple of 82335 and 82353?

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 82335 and 82353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82335 and 82353, than apply into the LCM equation.

GCF(82335,82353) = 3
LCM(82335,82353) = ( 82335 × 82353) / 3
LCM(82335,82353) = 6780534255 / 3
LCM(82335,82353) = 2260178085

Least Common Multiple (LCM) of 82335 and 82353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82335 and 82353. First we will calculate the prime factors of 82335 and 82353.

Prime Factorization of 82335

Prime Factorization of 82353

Now multiplying the highest exponent prime factors to calculate the LCM of 82335 and 82353.

LCM(82335,82353) = 3¹ × 5¹ × 11¹ × 499¹ × 97¹ × 283¹
LCM(82335,82353) = 2260178085