What is the Least Common Multiple of 82176 and 82191?

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 82176 and 82191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82176 and 82191, than apply into the LCM equation.

GCF(82176,82191) = 3
LCM(82176,82191) = ( 82176 × 82191) / 3
LCM(82176,82191) = 6754127616 / 3
LCM(82176,82191) = 2251375872

Least Common Multiple (LCM) of 82176 and 82191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82176 and 82191. First we will calculate the prime factors of 82176 and 82191.

Prime Factorization of 82176

Prime Factorization of 82191

Now multiplying the highest exponent prime factors to calculate the LCM of 82176 and 82191.

LCM(82176,82191) = 2⁸ × 3¹ × 107¹ × 27397¹
LCM(82176,82191) = 2251375872