What is the Least Common Multiple of 35303 and 35321?

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 35303 and 35321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35303 and 35321, than apply into the LCM equation.

GCF(35303,35321) = 1
LCM(35303,35321) = ( 35303 × 35321) / 1
LCM(35303,35321) = 1246937263 / 1
LCM(35303,35321) = 1246937263

Least Common Multiple (LCM) of 35303 and 35321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35303 and 35321. First we will calculate the prime factors of 35303 and 35321.

Prime Factorization of 35303

Prime Factorization of 35321

Now multiplying the highest exponent prime factors to calculate the LCM of 35303 and 35321.

LCM(35303,35321) = 43¹ × 821¹ × 11¹ × 13² × 19¹
LCM(35303,35321) = 1246937263