What is the Least Common Multiple of 5728 and 5735?

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 5735 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 5735, than apply into the LCM equation.

GCF(5728,5735) = 1
LCM(5728,5735) = ( 5728 × 5735) / 1
LCM(5728,5735) = 32850080 / 1
LCM(5728,5735) = 32850080

Least Common Multiple (LCM) of 5728 and 5735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5728 and 5735. First we will calculate the prime factors of 5728 and 5735.

Prime Factorization of 5728

Prime Factorization of 5735

Now multiplying the highest exponent prime factors to calculate the LCM of 5728 and 5735.

LCM(5728,5735) = 2⁵ × 179¹ × 5¹ × 31¹ × 37¹
LCM(5728,5735) = 32850080