What is the Least Common Multiple of 5774 and 5784?

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 5774 and 5784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5774 and 5784, than apply into the LCM equation.

GCF(5774,5784) = 2
LCM(5774,5784) = ( 5774 × 5784) / 2
LCM(5774,5784) = 33396816 / 2
LCM(5774,5784) = 16698408

Least Common Multiple (LCM) of 5774 and 5784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5774 and 5784. First we will calculate the prime factors of 5774 and 5784.

Prime Factorization of 5774

Prime Factorization of 5784

Now multiplying the highest exponent prime factors to calculate the LCM of 5774 and 5784.

LCM(5774,5784) = 2³ × 2887¹ × 3¹ × 241¹
LCM(5774,5784) = 16698408