Least Common Multiple of 2261 and 2268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2261 and 2268 the smallest integer that is 732564 that is divisible by both numbers.

Least Common Multiple (LCM) of 2261 and 2268 is 732564.

LCM(2261,2268) = 732564

LCM of 2261 and 2268

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

LCM of:
and

Least Common Multiple of 2261 and 2268

LCM of 2261 and 2268 is 732564

Least common multiple can be found by multiplying the highest exponent prime factors of 2261 and 2268. First we will calculate the prime factors of 2261 and 2268.

Prime Factorization of 2261


7 2261
17 323
19 19
1

Prime factors of 2261 are 7, 17,19. Prime factorization of 2261 in exponential form is:

2261 = 71×171×191

Prime Factorization of 2268


2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 2268 are 2, 3,7. Prime factorization of 2268 in exponential form is:

2268 = 22×34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 2261 and 2268.

LCM(2261,2268) = 22×34×71×171×191
LCM(2261,2268) = 732564

Factors of 2261

List of positive integer factors of 2261 that divides 2261 without a remainder.

1, 7, 17, 19, 119, 133, 323, 2261

Factors of 2268

List of positive integer factors of 2268 that divides 2268 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268

Least Common Multiple of 2261 and 2268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2261 and 2268, than apply into the LCM equation.

GCF(2261,2268) = 7
LCM(2261,2268) = ( 2261 × 2268) / 7
LCM(2261,2268) = 5127948 / 7
LCM(2261,2268) = 732564

Properties of LCM 2261 and 2268

(i) The LCM of 2268 and 2261 is associative

LCM of 2261 and 2268 = LCM of 2268 and 2261

Related Least Common Multiples of 2261

Related Least Common Multiples of 2268

Frequently Asked Questions on LCM of 2261 and 2268

1. What is the LCM of 2261 and 2268?

Answer: LCM of 2261 and 2268 is 732564.

2. What are the Factors of 2261?

Answer: Factors of 2261 are 1, 7, 17, 19, 119, 133, 323, 2261. There are 8 integers that are factors of 2261. The greatest factor of 2261 is 2261.

3. What are the Factors of 2268?

Answer: Factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268. There are 30 integers that are factors of 2268. The greatest factor of 2268 is 2268.

4. How to Find the LCM of 2261 and 2268?

Answer:

Least Common Multiple of 2261 and 2268 = 732564

Step 1: Find the prime factorization of 2261

2261 = 7 x 17 x 19

Step 2: Find the prime factorization of 2268

2268 = 2 x 2 x 3 x 3 x 3 x 3 x 7

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

LCM = 732564 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 17 x 19

Step 4: Therefore, the least common multiple of 2261 and 2268 is 732564.