What is the Least Common Multiple of 82080 and 82086?

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 82080 and 82086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82080 and 82086, than apply into the LCM equation.

GCF(82080,82086) = 6
LCM(82080,82086) = ( 82080 × 82086) / 6
LCM(82080,82086) = 6737618880 / 6
LCM(82080,82086) = 1122936480

Least Common Multiple (LCM) of 82080 and 82086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82080 and 82086. First we will calculate the prime factors of 82080 and 82086.

Prime Factorization of 82080

Prime Factorization of 82086

Now multiplying the highest exponent prime factors to calculate the LCM of 82080 and 82086.

LCM(82080,82086) = 2⁵ × 3³ × 5¹ × 19¹ × 13681¹
LCM(82080,82086) = 1122936480