What is the Least Common Multiple of 82334 and 82349?

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 82334 and 82349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82334 and 82349, than apply into the LCM equation.

GCF(82334,82349) = 1
LCM(82334,82349) = ( 82334 × 82349) / 1
LCM(82334,82349) = 6780122566 / 1
LCM(82334,82349) = 6780122566

Least Common Multiple (LCM) of 82334 and 82349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82334 and 82349. First we will calculate the prime factors of 82334 and 82349.

Prime Factorization of 82334

Prime Factorization of 82349

Now multiplying the highest exponent prime factors to calculate the LCM of 82334 and 82349.

LCM(82334,82349) = 2¹ × 7¹ × 5881¹ × 82349¹
LCM(82334,82349) = 6780122566