What is the Least Common Multiple of 35184 and 35191?

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 35184 and 35191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35184 and 35191, than apply into the LCM equation.

GCF(35184,35191) = 1
LCM(35184,35191) = ( 35184 × 35191) / 1
LCM(35184,35191) = 1238160144 / 1
LCM(35184,35191) = 1238160144

Least Common Multiple (LCM) of 35184 and 35191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35184 and 35191. First we will calculate the prime factors of 35184 and 35191.

Prime Factorization of 35184

Prime Factorization of 35191

Now multiplying the highest exponent prime factors to calculate the LCM of 35184 and 35191.

LCM(35184,35191) = 2⁴ × 3¹ × 733¹ × 13¹ × 2707¹
LCM(35184,35191) = 1238160144