What is the Least Common Multiple of 35301 and 35319?

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 35301 and 35319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35301 and 35319, than apply into the LCM equation.

GCF(35301,35319) = 3
LCM(35301,35319) = ( 35301 × 35319) / 3
LCM(35301,35319) = 1246796019 / 3
LCM(35301,35319) = 415598673

Least Common Multiple (LCM) of 35301 and 35319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35301 and 35319. First we will calculate the prime factors of 35301 and 35319.

Prime Factorization of 35301

Prime Factorization of 35319

Now multiplying the highest exponent prime factors to calculate the LCM of 35301 and 35319.

LCM(35301,35319) = 3¹ × 7¹ × 41² × 61¹ × 193¹
LCM(35301,35319) = 415598673