What is the Least Common Multiple of 10785 and 10791?

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 10791 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 10791, than apply into the LCM equation.

GCF(10785,10791) = 3
LCM(10785,10791) = ( 10785 × 10791) / 3
LCM(10785,10791) = 116380935 / 3
LCM(10785,10791) = 38793645

Least Common Multiple (LCM) of 10785 and 10791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10785 and 10791. First we will calculate the prime factors of 10785 and 10791.

Prime Factorization of 10785

Prime Factorization of 10791

Now multiplying the highest exponent prime factors to calculate the LCM of 10785 and 10791.

LCM(10785,10791) = 3² × 5¹ × 719¹ × 11¹ × 109¹
LCM(10785,10791) = 38793645