Least Common Multiple of 2268 and 2275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2268 and 2275 the smallest integer that is 737100 that is divisible by both numbers.

Least Common Multiple (LCM) of 2268 and 2275 is 737100.

LCM(2268,2275) = 737100

LCM of 2268 and 2275

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

LCM of:
and

Least Common Multiple of 2268 and 2275

LCM of 2268 and 2275 is 737100

Least common multiple can be found by multiplying the highest exponent prime factors of 2268 and 2275. First we will calculate the prime factors of 2268 and 2275.

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

Prime Factorization of 2275


5 2275
5 455
7 91
13 13
1

Prime factors of 2275 are 5, 7,13. Prime factorization of 2275 in exponential form is:

2275 = 52×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2268 and 2275.

LCM(2268,2275) = 22×34×52×71×131
LCM(2268,2275) = 737100

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

Factors of 2275

List of positive integer factors of 2275 that divides 2275 without a remainder.

1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275

Least Common Multiple of 2268 and 2275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2268 and 2275, than apply into the LCM equation.

GCF(2268,2275) = 7
LCM(2268,2275) = ( 2268 × 2275) / 7
LCM(2268,2275) = 5159700 / 7
LCM(2268,2275) = 737100

Properties of LCM 2268 and 2275

(i) The LCM of 2275 and 2268 is associative

LCM of 2268 and 2275 = LCM of 2275 and 2268

Related Least Common Multiples of 2268

Related Least Common Multiples of 2275

Frequently Asked Questions on LCM of 2268 and 2275

1. What is the LCM of 2268 and 2275?

Answer: LCM of 2268 and 2275 is 737100.

2. 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.

3. What are the Factors of 2275?

Answer: Factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275. There are 12 integers that are factors of 2275. The greatest factor of 2275 is 2275.

4. How to Find the LCM of 2268 and 2275?

Answer:

Least Common Multiple of 2268 and 2275 = 737100

Step 1: Find the prime factorization of 2268

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

Step 2: Find the prime factorization of 2275

2275 = 5 x 5 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 = 737100 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 2268 and 2275 is 737100.