# What is the Least Common Multiple of 184 and 191?

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 (LCM) of 184 and 191 is 35144.

LCM(184,191) = 35144

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## Least Common Multiple of 184 and 191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 184 and 191, than apply into the LCM equation.

GCF(184,191) = 1
LCM(184,191) = ( 184 × 191) / 1
LCM(184,191) = 35144 / 1
LCM(184,191) = 35144

## Least Common Multiple (LCM) of 184 and 191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 191. First we will calculate the prime factors of 184 and 191.

### Prime Factorization of 184

Prime factors of 184 are 2, 23. Prime factorization of 184 in exponential form is:

184 = 23 × 231

### Prime Factorization of 191

Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:

191 = 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 184 and 191.

LCM(184,191) = 23 × 231 × 1911
LCM(184,191) = 35144