What is the Least Common Multiple of 10775 and 10789?

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 10775 and 10789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10775 and 10789, than apply into the LCM equation.

GCF(10775,10789) = 1
LCM(10775,10789) = ( 10775 × 10789) / 1
LCM(10775,10789) = 116251475 / 1
LCM(10775,10789) = 116251475

Least Common Multiple (LCM) of 10775 and 10789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10775 and 10789. First we will calculate the prime factors of 10775 and 10789.

Prime Factorization of 10775

Prime Factorization of 10789

Now multiplying the highest exponent prime factors to calculate the LCM of 10775 and 10789.

LCM(10775,10789) = 5² × 431¹ × 10789¹
LCM(10775,10789) = 116251475