What is the Least Common Multiple of 35321 and 35338?

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 35321 and 35338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35321 and 35338, than apply into the LCM equation.

GCF(35321,35338) = 1
LCM(35321,35338) = ( 35321 × 35338) / 1
LCM(35321,35338) = 1248173498 / 1
LCM(35321,35338) = 1248173498

Least Common Multiple (LCM) of 35321 and 35338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35321 and 35338. First we will calculate the prime factors of 35321 and 35338.

Prime Factorization of 35321

Prime Factorization of 35338

Now multiplying the highest exponent prime factors to calculate the LCM of 35321 and 35338.

LCM(35321,35338) = 11¹ × 13² × 19¹ × 2¹ × 17669¹
LCM(35321,35338) = 1248173498