What is the Least Common Multiple of 10785 and 10805?

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 10785 and 10805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10785 and 10805, than apply into the LCM equation.

GCF(10785,10805) = 5
LCM(10785,10805) = ( 10785 × 10805) / 5
LCM(10785,10805) = 116531925 / 5
LCM(10785,10805) = 23306385

Least Common Multiple (LCM) of 10785 and 10805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10785 and 10805. First we will calculate the prime factors of 10785 and 10805.

Prime Factorization of 10785

Prime Factorization of 10805

Now multiplying the highest exponent prime factors to calculate the LCM of 10785 and 10805.

LCM(10785,10805) = 3¹ × 5¹ × 719¹ × 2161¹
LCM(10785,10805) = 23306385