What is the Least Common Multiple of 11775 and 11784?

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 11775 and 11784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11775 and 11784, than apply into the LCM equation.

GCF(11775,11784) = 3
LCM(11775,11784) = ( 11775 × 11784) / 3
LCM(11775,11784) = 138756600 / 3
LCM(11775,11784) = 46252200

Least Common Multiple (LCM) of 11775 and 11784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11775 and 11784. First we will calculate the prime factors of 11775 and 11784.

Prime Factorization of 11775

Prime Factorization of 11784

Now multiplying the highest exponent prime factors to calculate the LCM of 11775 and 11784.

LCM(11775,11784) = 3¹ × 5² × 157¹ × 2³ × 491¹
LCM(11775,11784) = 46252200