What is the Least Common Multiple of 11785 and 11792?

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 11785 and 11792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11785 and 11792, than apply into the LCM equation.

GCF(11785,11792) = 1
LCM(11785,11792) = ( 11785 × 11792) / 1
LCM(11785,11792) = 138968720 / 1
LCM(11785,11792) = 138968720

Least Common Multiple (LCM) of 11785 and 11792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11785 and 11792. First we will calculate the prime factors of 11785 and 11792.

Prime Factorization of 11785

Prime Factorization of 11792

Now multiplying the highest exponent prime factors to calculate the LCM of 11785 and 11792.

LCM(11785,11792) = 5¹ × 2357¹ × 2⁴ × 11¹ × 67¹
LCM(11785,11792) = 138968720