What is the Least Common Multiple of 82164 and 82172?

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 82164 and 82172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82164 and 82172, than apply into the LCM equation.

GCF(82164,82172) = 4
LCM(82164,82172) = ( 82164 × 82172) / 4
LCM(82164,82172) = 6751580208 / 4
LCM(82164,82172) = 1687895052

Least Common Multiple (LCM) of 82164 and 82172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82164 and 82172. First we will calculate the prime factors of 82164 and 82172.

Prime Factorization of 82164

Prime Factorization of 82172

Now multiplying the highest exponent prime factors to calculate the LCM of 82164 and 82172.

LCM(82164,82172) = 2² × 3¹ × 41¹ × 167¹ × 20543¹
LCM(82164,82172) = 1687895052