What is the Least Common Multiple of 5730 and 5745?

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 5745 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 5745, than apply into the LCM equation.

GCF(5730,5745) = 15
LCM(5730,5745) = ( 5730 × 5745) / 15
LCM(5730,5745) = 32918850 / 15
LCM(5730,5745) = 2194590

Least Common Multiple (LCM) of 5730 and 5745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5730 and 5745. First we will calculate the prime factors of 5730 and 5745.

Prime Factorization of 5730

Prime Factorization of 5745

Now multiplying the highest exponent prime factors to calculate the LCM of 5730 and 5745.

LCM(5730,5745) = 2¹ × 3¹ × 5¹ × 191¹ × 383¹
LCM(5730,5745) = 2194590