Least Common Multiple of 184 and 191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 184 and 191 the smallest integer that is 35144 that is divisible by both numbers.

Least Common Multiple (LCM) of 184 and 191 is 35144.

LCM(184,191) = 35144

LCM of 184 and 191

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 184 and 191

LCM of 184 and 191 is 35144

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


2 184
2 92
2 46
23 23
1

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

184 = 23×231

Prime Factorization of 191


191 191
1

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

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1, 191

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

Properties of LCM 184 and 191

(i) The LCM of 191 and 184 is associative

LCM of 184 and 191 = LCM of 191 and 184

Related Least Common Multiples of 184

Related Least Common Multiples of 191

Frequently Asked Questions on LCM of 184 and 191

1. What is the LCM of 184 and 191?

Answer: LCM of 184 and 191 is 35144.

2. What are the Factors of 184?

Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.

3. What are the Factors of 191?

Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.

4. How to Find the LCM of 184 and 191?

Answer:

Least Common Multiple of 184 and 191 = 35144

Step 1: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 191

191 = 191

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 35144 = 2 x 2 x 2 x 23 x 191

Step 4: Therefore, the least common multiple of 184 and 191 is 35144.