What is the Least Common Multiple of 82665 and 82671?

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 82665 and 82671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82665 and 82671, than apply into the LCM equation.

GCF(82665,82671) = 3
LCM(82665,82671) = ( 82665 × 82671) / 3
LCM(82665,82671) = 6833998215 / 3
LCM(82665,82671) = 2277999405

Least Common Multiple (LCM) of 82665 and 82671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82665 and 82671. First we will calculate the prime factors of 82665 and 82671.

Prime Factorization of 82665

Prime Factorization of 82671

Now multiplying the highest exponent prime factors to calculate the LCM of 82665 and 82671.

LCM(82665,82671) = 3² × 5¹ × 11¹ × 167¹ × 17¹ × 1621¹
LCM(82665,82671) = 2277999405