What is the Least Common Multiple of 35388 and 35404?

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 35388 and 35404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35388 and 35404, than apply into the LCM equation.

GCF(35388,35404) = 4
LCM(35388,35404) = ( 35388 × 35404) / 4
LCM(35388,35404) = 1252876752 / 4
LCM(35388,35404) = 313219188

Least Common Multiple (LCM) of 35388 and 35404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35388 and 35404. First we will calculate the prime factors of 35388 and 35404.

Prime Factorization of 35388

Prime Factorization of 35404

Now multiplying the highest exponent prime factors to calculate the LCM of 35388 and 35404.

LCM(35388,35404) = 2² × 3² × 983¹ × 53¹ × 167¹
LCM(35388,35404) = 313219188