What is the Least Common Multiple of 82768 and 82775?

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 82768 and 82775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82768 and 82775, than apply into the LCM equation.

GCF(82768,82775) = 7
LCM(82768,82775) = ( 82768 × 82775) / 7
LCM(82768,82775) = 6851121200 / 7
LCM(82768,82775) = 978731600

Least Common Multiple (LCM) of 82768 and 82775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82768 and 82775. First we will calculate the prime factors of 82768 and 82775.

Prime Factorization of 82768

Prime Factorization of 82775

Now multiplying the highest exponent prime factors to calculate the LCM of 82768 and 82775.

LCM(82768,82775) = 2⁴ × 7¹ × 739¹ × 5² × 11¹ × 43¹
LCM(82768,82775) = 978731600