What is the Least Common Multiple of 82329 and 82342?

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 82329 and 82342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82329 and 82342, than apply into the LCM equation.

GCF(82329,82342) = 13
LCM(82329,82342) = ( 82329 × 82342) / 13
LCM(82329,82342) = 6779134518 / 13
LCM(82329,82342) = 521471886

Least Common Multiple (LCM) of 82329 and 82342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82329 and 82342. First we will calculate the prime factors of 82329 and 82342.

Prime Factorization of 82329

Prime Factorization of 82342

Now multiplying the highest exponent prime factors to calculate the LCM of 82329 and 82342.

LCM(82329,82342) = 3¹ × 13¹ × 2111¹ × 2¹ × 3167¹
LCM(82329,82342) = 521471886