What is the Least Common Multiple of 5730 and 5742?

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 5730 and 5742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5730 and 5742, than apply into the LCM equation.

GCF(5730,5742) = 6
LCM(5730,5742) = ( 5730 × 5742) / 6
LCM(5730,5742) = 32901660 / 6
LCM(5730,5742) = 5483610

Least Common Multiple (LCM) of 5730 and 5742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5730 and 5742. First we will calculate the prime factors of 5730 and 5742.

Prime Factorization of 5730

Prime Factorization of 5742

Now multiplying the highest exponent prime factors to calculate the LCM of 5730 and 5742.

LCM(5730,5742) = 2¹ × 3² × 5¹ × 191¹ × 11¹ × 29¹
LCM(5730,5742) = 5483610