What is the Least Common Multiple of 10760 and 10775?

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 10760 and 10775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10760 and 10775, than apply into the LCM equation.

GCF(10760,10775) = 5
LCM(10760,10775) = ( 10760 × 10775) / 5
LCM(10760,10775) = 115939000 / 5
LCM(10760,10775) = 23187800

Least Common Multiple (LCM) of 10760 and 10775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10760 and 10775. First we will calculate the prime factors of 10760 and 10775.

Prime Factorization of 10760

Prime Factorization of 10775

Now multiplying the highest exponent prime factors to calculate the LCM of 10760 and 10775.

LCM(10760,10775) = 2³ × 5² × 269¹ × 431¹
LCM(10760,10775) = 23187800