Least Common Multiple of 2184 and 2190

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 2190 the smallest integer that is 797160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2184 and 2190 is 797160.

LCM(2184,2190) = 797160

LCM of 2184 and 2190

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

LCM of:
and

Least Common Multiple of 2184 and 2190

LCM of 2184 and 2190 is 797160

Least common multiple can be found by multiplying the highest exponent prime factors of 2184 and 2190. First we will calculate the prime factors of 2184 and 2190.

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 2190


2 2190
3 1095
5 365
73 73
1

Prime factors of 2190 are 2, 3, 5,73. Prime factorization of 2190 in exponential form is:

2190 = 21×31×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2184 and 2190.

LCM(2184,2190) = 23×31×51×71×131×731
LCM(2184,2190) = 797160

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 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190

Least Common Multiple of 2184 and 2190 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 2190, than apply into the LCM equation.

GCF(2184,2190) = 6
LCM(2184,2190) = ( 2184 × 2190) / 6
LCM(2184,2190) = 4782960 / 6
LCM(2184,2190) = 797160

Properties of LCM 2184 and 2190

(i) The LCM of 2190 and 2184 is associative

LCM of 2184 and 2190 = LCM of 2190 and 2184

Related Least Common Multiples of 2184

Related Least Common Multiples of 2190

Frequently Asked Questions on LCM of 2184 and 2190

1. What is the LCM of 2184 and 2190?

Answer: LCM of 2184 and 2190 is 797160.

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 2190?

Answer: Factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190. There are 16 integers that are factors of 2190. The greatest factor of 2190 is 2190.

4. How to Find the LCM of 2184 and 2190?

Answer:

Least Common Multiple of 2184 and 2190 = 797160

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 2190

2190 = 2 x 3 x 5 x 73

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

LCM = 797160 = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 73

Step 4: Therefore, the least common multiple of 2184 and 2190 is 797160.