What is the Least Common Multiple of 82160 and 82165?

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 82160 and 82165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82160 and 82165, than apply into the LCM equation.

GCF(82160,82165) = 5
LCM(82160,82165) = ( 82160 × 82165) / 5
LCM(82160,82165) = 6750676400 / 5
LCM(82160,82165) = 1350135280

Least Common Multiple (LCM) of 82160 and 82165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82160 and 82165. First we will calculate the prime factors of 82160 and 82165.

Prime Factorization of 82160

Prime Factorization of 82165

Now multiplying the highest exponent prime factors to calculate the LCM of 82160 and 82165.

LCM(82160,82165) = 2⁴ × 5¹ × 13¹ × 79¹ × 16433¹
LCM(82160,82165) = 1350135280