What is the Least Common Multiple of 51315 and 51335?

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 51315 and 51335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51315 and 51335, than apply into the LCM equation.

GCF(51315,51335) = 5
LCM(51315,51335) = ( 51315 × 51335) / 5
LCM(51315,51335) = 2634255525 / 5
LCM(51315,51335) = 526851105

Least Common Multiple (LCM) of 51315 and 51335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51315 and 51335. First we will calculate the prime factors of 51315 and 51335.

Prime Factorization of 51315

Prime Factorization of 51335

Now multiplying the highest exponent prime factors to calculate the LCM of 51315 and 51335.

LCM(51315,51335) = 3¹ × 5¹ × 11¹ × 311¹ × 10267¹
LCM(51315,51335) = 526851105