What is the Least Common Multiple of 53940 and 53954?

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 53954 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 53954, than apply into the LCM equation.

GCF(53940,53954) = 2
LCM(53940,53954) = ( 53940 × 53954) / 2
LCM(53940,53954) = 2910278760 / 2
LCM(53940,53954) = 1455139380

Least Common Multiple (LCM) of 53940 and 53954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53940 and 53954. First we will calculate the prime factors of 53940 and 53954.

Prime Factorization of 53940

Prime Factorization of 53954

Now multiplying the highest exponent prime factors to calculate the LCM of 53940 and 53954.

LCM(53940,53954) = 2² × 3¹ × 5¹ × 29¹ × 31¹ × 53¹ × 509¹
LCM(53940,53954) = 1455139380