What is the Least Common Multiple of 5934 and 5940?

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 5934 and 5940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5934 and 5940, than apply into the LCM equation.

GCF(5934,5940) = 6
LCM(5934,5940) = ( 5934 × 5940) / 6
LCM(5934,5940) = 35247960 / 6
LCM(5934,5940) = 5874660

Least Common Multiple (LCM) of 5934 and 5940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5934 and 5940. First we will calculate the prime factors of 5934 and 5940.

Prime Factorization of 5934

Prime Factorization of 5940

Now multiplying the highest exponent prime factors to calculate the LCM of 5934 and 5940.

LCM(5934,5940) = 2² × 3³ × 23¹ × 43¹ × 5¹ × 11¹
LCM(5934,5940) = 5874660