What is the Least Common Multiple of 35313 and 35322?

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 35313 and 35322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35313 and 35322, than apply into the LCM equation.

GCF(35313,35322) = 3
LCM(35313,35322) = ( 35313 × 35322) / 3
LCM(35313,35322) = 1247325786 / 3
LCM(35313,35322) = 415775262

Least Common Multiple (LCM) of 35313 and 35322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35313 and 35322. First we will calculate the prime factors of 35313 and 35322.

Prime Factorization of 35313

Prime Factorization of 35322

Now multiplying the highest exponent prime factors to calculate the LCM of 35313 and 35322.

LCM(35313,35322) = 3¹ × 79¹ × 149¹ × 2¹ × 7¹ × 29²
LCM(35313,35322) = 415775262