What is the Least Common Multiple of 35188 and 35199?

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 35188 and 35199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35188 and 35199, than apply into the LCM equation.

GCF(35188,35199) = 1
LCM(35188,35199) = ( 35188 × 35199) / 1
LCM(35188,35199) = 1238582412 / 1
LCM(35188,35199) = 1238582412

Least Common Multiple (LCM) of 35188 and 35199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35188 and 35199. First we will calculate the prime factors of 35188 and 35199.

Prime Factorization of 35188

Prime Factorization of 35199

Now multiplying the highest exponent prime factors to calculate the LCM of 35188 and 35199.

LCM(35188,35199) = 2² × 19¹ × 463¹ × 3² × 3911¹
LCM(35188,35199) = 1238582412