What is the Least Common Multiple of 53940 and 53949?

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 53940 and 53949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53940 and 53949, than apply into the LCM equation.

GCF(53940,53949) = 3
LCM(53940,53949) = ( 53940 × 53949) / 3
LCM(53940,53949) = 2910009060 / 3
LCM(53940,53949) = 970003020

Least Common Multiple (LCM) of 53940 and 53949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53940 and 53949. First we will calculate the prime factors of 53940 and 53949.

Prime Factorization of 53940

Prime Factorization of 53949

Now multiplying the highest exponent prime factors to calculate the LCM of 53940 and 53949.

LCM(53940,53949) = 2² × 3¹ × 5¹ × 29¹ × 31¹ × 7² × 367¹
LCM(53940,53949) = 970003020