What is the Least Common Multiple of 82146 and 82160?

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 82146 and 82160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82146 and 82160, than apply into the LCM equation.

GCF(82146,82160) = 2
LCM(82146,82160) = ( 82146 × 82160) / 2
LCM(82146,82160) = 6749115360 / 2
LCM(82146,82160) = 3374557680

Least Common Multiple (LCM) of 82146 and 82160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82146 and 82160. First we will calculate the prime factors of 82146 and 82160.

Prime Factorization of 82146

Prime Factorization of 82160

Now multiplying the highest exponent prime factors to calculate the LCM of 82146 and 82160.

LCM(82146,82160) = 2⁴ × 3¹ × 13691¹ × 5¹ × 13¹ × 79¹
LCM(82146,82160) = 3374557680