What is the Least Common Multiple of 82175 and 82193?

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 82175 and 82193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82175 and 82193, than apply into the LCM equation.

GCF(82175,82193) = 1
LCM(82175,82193) = ( 82175 × 82193) / 1
LCM(82175,82193) = 6754209775 / 1
LCM(82175,82193) = 6754209775

Least Common Multiple (LCM) of 82175 and 82193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82175 and 82193. First we will calculate the prime factors of 82175 and 82193.

Prime Factorization of 82175

Prime Factorization of 82193

Now multiplying the highest exponent prime factors to calculate the LCM of 82175 and 82193.

LCM(82175,82193) = 5² × 19¹ × 173¹ × 82193¹
LCM(82175,82193) = 6754209775