Least Common Multiple of 2177 and 2184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2177 and 2184 the smallest integer that is 679224 that is divisible by both numbers.

Least Common Multiple (LCM) of 2177 and 2184 is 679224.

LCM(2177,2184) = 679224

LCM of 2177 and 2184

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

LCM of:
and

Least Common Multiple of 2177 and 2184

LCM of 2177 and 2184 is 679224

Least common multiple can be found by multiplying the highest exponent prime factors of 2177 and 2184. First we will calculate the prime factors of 2177 and 2184.

Prime Factorization of 2177


7 2177
311 311
1

Prime factors of 2177 are 7,311. Prime factorization of 2177 in exponential form is:

2177 = 71×3111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2177 and 2184.

LCM(2177,2184) = 23×31×71×131×3111
LCM(2177,2184) = 679224

Factors of 2177

List of positive integer factors of 2177 that divides 2177 without a remainder.

1, 7, 311, 2177

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

Least Common Multiple of 2177 and 2184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2177 and 2184, than apply into the LCM equation.

GCF(2177,2184) = 7
LCM(2177,2184) = ( 2177 × 2184) / 7
LCM(2177,2184) = 4754568 / 7
LCM(2177,2184) = 679224

Properties of LCM 2177 and 2184

(i) The LCM of 2184 and 2177 is associative

LCM of 2177 and 2184 = LCM of 2184 and 2177

Related Least Common Multiples of 2177

Related Least Common Multiples of 2184

Frequently Asked Questions on LCM of 2177 and 2184

1. What is the LCM of 2177 and 2184?

Answer: LCM of 2177 and 2184 is 679224.

2. What are the Factors of 2177?

Answer: Factors of 2177 are 1, 7, 311, 2177. There are 4 integers that are factors of 2177. The greatest factor of 2177 is 2177.

3. 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.

4. How to Find the LCM of 2177 and 2184?

Answer:

Least Common Multiple of 2177 and 2184 = 679224

Step 1: Find the prime factorization of 2177

2177 = 7 x 311

Step 2: Find the prime factorization of 2184

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

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

LCM = 679224 = 2 x 2 x 2 x 3 x 7 x 13 x 311

Step 4: Therefore, the least common multiple of 2177 and 2184 is 679224.