What is the Least Common Multiple of 35338 and 35344?

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 35338 and 35344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35338 and 35344, than apply into the LCM equation.

GCF(35338,35344) = 2
LCM(35338,35344) = ( 35338 × 35344) / 2
LCM(35338,35344) = 1248986272 / 2
LCM(35338,35344) = 624493136

Least Common Multiple (LCM) of 35338 and 35344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35338 and 35344. First we will calculate the prime factors of 35338 and 35344.

Prime Factorization of 35338

Prime Factorization of 35344

Now multiplying the highest exponent prime factors to calculate the LCM of 35338 and 35344.

LCM(35338,35344) = 2⁴ × 17669¹ × 47²
LCM(35338,35344) = 624493136