Least Common Multiple of 2184 and 2188

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 2188 the smallest integer that is 1194648 that is divisible by both numbers.

Least Common Multiple (LCM) of 2184 and 2188 is 1194648.

LCM(2184,2188) = 1194648

LCM of 2184 and 2188

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

LCM of:
and

Least Common Multiple of 2184 and 2188

LCM of 2184 and 2188 is 1194648

Least common multiple can be found by multiplying the highest exponent prime factors of 2184 and 2188. First we will calculate the prime factors of 2184 and 2188.

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 2188


2 2188
2 1094
547 547
1

Prime factors of 2188 are 2,547. Prime factorization of 2188 in exponential form is:

2188 = 22×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 2184 and 2188.

LCM(2184,2188) = 23×31×71×131×5471
LCM(2184,2188) = 1194648

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 2188

List of positive integer factors of 2188 that divides 2188 without a remainder.

1, 2, 4, 547, 1094, 2188

Least Common Multiple of 2184 and 2188 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 2188, than apply into the LCM equation.

GCF(2184,2188) = 4
LCM(2184,2188) = ( 2184 × 2188) / 4
LCM(2184,2188) = 4778592 / 4
LCM(2184,2188) = 1194648

Properties of LCM 2184 and 2188

(i) The LCM of 2188 and 2184 is associative

LCM of 2184 and 2188 = LCM of 2188 and 2184

Related Least Common Multiples of 2184

Related Least Common Multiples of 2188

Frequently Asked Questions on LCM of 2184 and 2188

1. What is the LCM of 2184 and 2188?

Answer: LCM of 2184 and 2188 is 1194648.

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 2188?

Answer: Factors of 2188 are 1, 2, 4, 547, 1094, 2188. There are 6 integers that are factors of 2188. The greatest factor of 2188 is 2188.

4. How to Find the LCM of 2184 and 2188?

Answer:

Least Common Multiple of 2184 and 2188 = 1194648

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 2188

2188 = 2 x 2 x 547

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

LCM = 1194648 = 2 x 2 x 2 x 3 x 7 x 13 x 547

Step 4: Therefore, the least common multiple of 2184 and 2188 is 1194648.