What is the Least Common Multiple of 82160 and 82167?

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 82167 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 82167, than apply into the LCM equation.

GCF(82160,82167) = 1
LCM(82160,82167) = ( 82160 × 82167) / 1
LCM(82160,82167) = 6750840720 / 1
LCM(82160,82167) = 6750840720

Least Common Multiple (LCM) of 82160 and 82167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82160 and 82167. First we will calculate the prime factors of 82160 and 82167.

Prime Factorization of 82160

Prime Factorization of 82167

Now multiplying the highest exponent prime factors to calculate the LCM of 82160 and 82167.

LCM(82160,82167) = 2⁴ × 5¹ × 13¹ × 79¹ × 3¹ × 61¹ × 449¹
LCM(82160,82167) = 6750840720