What is the Least Common Multiple of 53934 and 53940?

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 53934 and 53940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53934 and 53940, than apply into the LCM equation.

GCF(53934,53940) = 6
LCM(53934,53940) = ( 53934 × 53940) / 6
LCM(53934,53940) = 2909199960 / 6
LCM(53934,53940) = 484866660

Least Common Multiple (LCM) of 53934 and 53940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53934 and 53940. First we will calculate the prime factors of 53934 and 53940.

Prime Factorization of 53934

Prime Factorization of 53940

Now multiplying the highest exponent prime factors to calculate the LCM of 53934 and 53940.

LCM(53934,53940) = 2² × 3¹ × 89¹ × 101¹ × 5¹ × 29¹ × 31¹
LCM(53934,53940) = 484866660