What is the Least Common Multiple of 53317 and 53329?

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 53317 and 53329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53317 and 53329, than apply into the LCM equation.

GCF(53317,53329) = 1
LCM(53317,53329) = ( 53317 × 53329) / 1
LCM(53317,53329) = 2843342293 / 1
LCM(53317,53329) = 2843342293

Least Common Multiple (LCM) of 53317 and 53329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53317 and 53329. First we will calculate the prime factors of 53317 and 53329.

Prime Factorization of 53317

Prime Factorization of 53329

Now multiplying the highest exponent prime factors to calculate the LCM of 53317 and 53329.

LCM(53317,53329) = 11¹ × 37¹ × 131¹ × 17¹ × 3137¹
LCM(53317,53329) = 2843342293