Least Common Multiple of 2184 and 2191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2184 and 2191 the smallest integer that is 683592 that is divisible by both numbers.

Least Common Multiple (LCM) of 2184 and 2191 is 683592.

LCM(2184,2191) = 683592

LCM of 2184 and 2191

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

LCM of:
and

Least Common Multiple of 2184 and 2191

LCM of 2184 and 2191 is 683592

Least common multiple can be found by multiplying the highest exponent prime factors of 2184 and 2191. First we will calculate the prime factors of 2184 and 2191.

Prime Factorization of 2184


2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 2184 are 2, 3, 7,13. Prime factorization of 2184 in exponential form is:

2184 = 23×31×71×131

Prime Factorization of 2191


7 2191
313 313
1

Prime factors of 2191 are 7,313. Prime factorization of 2191 in exponential form is:

2191 = 71×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 2184 and 2191.

LCM(2184,2191) = 23×31×71×131×3131
LCM(2184,2191) = 683592

Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184

Factors of 2191

List of positive integer factors of 2191 that divides 2191 without a remainder.

1, 7, 313, 2191

Least Common Multiple of 2184 and 2191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2184 and 2191, than apply into the LCM equation.

GCF(2184,2191) = 7
LCM(2184,2191) = ( 2184 × 2191) / 7
LCM(2184,2191) = 4785144 / 7
LCM(2184,2191) = 683592

Properties of LCM 2184 and 2191

(i) The LCM of 2191 and 2184 is associative

LCM of 2184 and 2191 = LCM of 2191 and 2184

Related Least Common Multiples of 2184

Related Least Common Multiples of 2191

Frequently Asked Questions on LCM of 2184 and 2191

1. What is the LCM of 2184 and 2191?

Answer: LCM of 2184 and 2191 is 683592.

2. What are the Factors of 2184?

Answer: Factors of 2184 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184. There are 32 integers that are factors of 2184. The greatest factor of 2184 is 2184.

3. What are the Factors of 2191?

Answer: Factors of 2191 are 1, 7, 313, 2191. There are 4 integers that are factors of 2191. The greatest factor of 2191 is 2191.

4. How to Find the LCM of 2184 and 2191?

Answer:

Least Common Multiple of 2184 and 2191 = 683592

Step 1: Find the prime factorization of 2184

2184 = 2 x 2 x 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 2191

2191 = 7 x 313

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

LCM = 683592 = 2 x 2 x 2 x 3 x 7 x 13 x 313

Step 4: Therefore, the least common multiple of 2184 and 2191 is 683592.