What is the Least Common Multiple of 35323 and 35335?

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 35323 and 35335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35323 and 35335, than apply into the LCM equation.

GCF(35323,35335) = 1
LCM(35323,35335) = ( 35323 × 35335) / 1
LCM(35323,35335) = 1248138205 / 1
LCM(35323,35335) = 1248138205

Least Common Multiple (LCM) of 35323 and 35335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35323 and 35335. First we will calculate the prime factors of 35323 and 35335.

Prime Factorization of 35323

Prime Factorization of 35335

Now multiplying the highest exponent prime factors to calculate the LCM of 35323 and 35335.

LCM(35323,35335) = 35323¹ × 5¹ × 37¹ × 191¹
LCM(35323,35335) = 1248138205