What is the Least Common Multiple of 5704 and 5722?

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 5704 and 5722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5704 and 5722, than apply into the LCM equation.

GCF(5704,5722) = 2
LCM(5704,5722) = ( 5704 × 5722) / 2
LCM(5704,5722) = 32638288 / 2
LCM(5704,5722) = 16319144

Least Common Multiple (LCM) of 5704 and 5722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5704 and 5722. First we will calculate the prime factors of 5704 and 5722.

Prime Factorization of 5704

Prime Factorization of 5722

Now multiplying the highest exponent prime factors to calculate the LCM of 5704 and 5722.

LCM(5704,5722) = 2³ × 23¹ × 31¹ × 2861¹
LCM(5704,5722) = 16319144