What is the Least Common Multiple of 5728 and 5734?

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 5728 and 5734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5728 and 5734, than apply into the LCM equation.

GCF(5728,5734) = 2
LCM(5728,5734) = ( 5728 × 5734) / 2
LCM(5728,5734) = 32844352 / 2
LCM(5728,5734) = 16422176

Least Common Multiple (LCM) of 5728 and 5734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5728 and 5734. First we will calculate the prime factors of 5728 and 5734.

Prime Factorization of 5728

Prime Factorization of 5734

Now multiplying the highest exponent prime factors to calculate the LCM of 5728 and 5734.

LCM(5728,5734) = 2⁵ × 179¹ × 47¹ × 61¹
LCM(5728,5734) = 16422176