What is the Least Common Multiple of 82313 and 82333?

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 82313 and 82333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82313 and 82333, than apply into the LCM equation.

GCF(82313,82333) = 1
LCM(82313,82333) = ( 82313 × 82333) / 1
LCM(82313,82333) = 6777076229 / 1
LCM(82313,82333) = 6777076229

Least Common Multiple (LCM) of 82313 and 82333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82313 and 82333. First we will calculate the prime factors of 82313 and 82333.

Prime Factorization of 82313

Prime Factorization of 82333

Now multiplying the highest exponent prime factors to calculate the LCM of 82313 and 82333.

LCM(82313,82333) = 7¹ × 11¹ × 1069¹ × 281¹ × 293¹
LCM(82313,82333) = 6777076229