What is the Least Common Multiple of 82764 and 82781?

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 82764 and 82781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82764 and 82781, than apply into the LCM equation.

GCF(82764,82781) = 1
LCM(82764,82781) = ( 82764 × 82781) / 1
LCM(82764,82781) = 6851286684 / 1
LCM(82764,82781) = 6851286684

Least Common Multiple (LCM) of 82764 and 82781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82764 and 82781. First we will calculate the prime factors of 82764 and 82781.

Prime Factorization of 82764

Prime Factorization of 82781

Now multiplying the highest exponent prime factors to calculate the LCM of 82764 and 82781.

LCM(82764,82781) = 2² × 3² × 11² × 19¹ × 82781¹
LCM(82764,82781) = 6851286684