What is the Least Common Multiple of 10785 and 10792?

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 10792 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 10792, than apply into the LCM equation.

GCF(10785,10792) = 1
LCM(10785,10792) = ( 10785 × 10792) / 1
LCM(10785,10792) = 116391720 / 1
LCM(10785,10792) = 116391720

Least Common Multiple (LCM) of 10785 and 10792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10785 and 10792. First we will calculate the prime factors of 10785 and 10792.

Prime Factorization of 10785

Prime Factorization of 10792

Now multiplying the highest exponent prime factors to calculate the LCM of 10785 and 10792.

LCM(10785,10792) = 3¹ × 5¹ × 719¹ × 2³ × 19¹ × 71¹
LCM(10785,10792) = 116391720