What is the Least Common Multiple of 51315 and 51332?

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 51332 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 51332, than apply into the LCM equation.

GCF(51315,51332) = 1
LCM(51315,51332) = ( 51315 × 51332) / 1
LCM(51315,51332) = 2634101580 / 1
LCM(51315,51332) = 2634101580

Least Common Multiple (LCM) of 51315 and 51332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51315 and 51332. First we will calculate the prime factors of 51315 and 51332.

Prime Factorization of 51315

Prime Factorization of 51332

Now multiplying the highest exponent prime factors to calculate the LCM of 51315 and 51332.

LCM(51315,51332) = 3¹ × 5¹ × 11¹ × 311¹ × 2² × 41¹ × 313¹
LCM(51315,51332) = 2634101580