What is the Least Common Multiple of 53940 and 53945?

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 53945 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 53945, than apply into the LCM equation.

GCF(53940,53945) = 5
LCM(53940,53945) = ( 53940 × 53945) / 5
LCM(53940,53945) = 2909793300 / 5
LCM(53940,53945) = 581958660

Least Common Multiple (LCM) of 53940 and 53945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53940 and 53945. First we will calculate the prime factors of 53940 and 53945.

Prime Factorization of 53940

Prime Factorization of 53945

Now multiplying the highest exponent prime factors to calculate the LCM of 53940 and 53945.

LCM(53940,53945) = 2² × 3¹ × 5¹ × 29¹ × 31¹ × 10789¹
LCM(53940,53945) = 581958660