What is the Least Common Multiple of 5745 and 5759?

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 5745 and 5759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5745 and 5759, than apply into the LCM equation.

GCF(5745,5759) = 1
LCM(5745,5759) = ( 5745 × 5759) / 1
LCM(5745,5759) = 33085455 / 1
LCM(5745,5759) = 33085455

Least Common Multiple (LCM) of 5745 and 5759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5745 and 5759. First we will calculate the prime factors of 5745 and 5759.

Prime Factorization of 5745

Prime Factorization of 5759

Now multiplying the highest exponent prime factors to calculate the LCM of 5745 and 5759.

LCM(5745,5759) = 3¹ × 5¹ × 383¹ × 13¹ × 443¹
LCM(5745,5759) = 33085455