What is the Least Common Multiple of 53390 and 53405?

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 53390 and 53405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53390 and 53405, than apply into the LCM equation.

GCF(53390,53405) = 5
LCM(53390,53405) = ( 53390 × 53405) / 5
LCM(53390,53405) = 2851292950 / 5
LCM(53390,53405) = 570258590

Least Common Multiple (LCM) of 53390 and 53405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53390 and 53405. First we will calculate the prime factors of 53390 and 53405.

Prime Factorization of 53390

Prime Factorization of 53405

Now multiplying the highest exponent prime factors to calculate the LCM of 53390 and 53405.

LCM(53390,53405) = 2¹ × 5¹ × 19¹ × 281¹ × 11¹ × 971¹
LCM(53390,53405) = 570258590