What is the Least Common Multiple of 82157 and 82177?

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 82157 and 82177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82157 and 82177, than apply into the LCM equation.

GCF(82157,82177) = 1
LCM(82157,82177) = ( 82157 × 82177) / 1
LCM(82157,82177) = 6751415789 / 1
LCM(82157,82177) = 6751415789

Least Common Multiple (LCM) of 82157 and 82177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82157 and 82177. First we will calculate the prime factors of 82157 and 82177.

Prime Factorization of 82157

Prime Factorization of 82177

Now multiplying the highest exponent prime factors to calculate the LCM of 82157 and 82177.

LCM(82157,82177) = 29¹ × 2833¹ × 37¹ × 2221¹
LCM(82157,82177) = 6751415789