Least Common Multiple of 2268 and 2270

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 2270 the smallest integer that is 2574180 that is divisible by both numbers.

Least Common Multiple (LCM) of 2268 and 2270 is 2574180.

LCM(2268,2270) = 2574180

LCM of 2268 and 2270

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

LCM of:
and

Least Common Multiple of 2268 and 2270

LCM of 2268 and 2270 is 2574180

Least common multiple can be found by multiplying the highest exponent prime factors of 2268 and 2270. First we will calculate the prime factors of 2268 and 2270.

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 2270


2 2270
5 1135
227 227
1

Prime factors of 2270 are 2, 5,227. Prime factorization of 2270 in exponential form is:

2270 = 21×51×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2268 and 2270.

LCM(2268,2270) = 22×34×51×71×2271
LCM(2268,2270) = 2574180

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 2270

List of positive integer factors of 2270 that divides 2270 without a remainder.

1, 2, 5, 10, 227, 454, 1135, 2270

Least Common Multiple of 2268 and 2270 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 2270, than apply into the LCM equation.

GCF(2268,2270) = 2
LCM(2268,2270) = ( 2268 × 2270) / 2
LCM(2268,2270) = 5148360 / 2
LCM(2268,2270) = 2574180

Properties of LCM 2268 and 2270

(i) The LCM of 2270 and 2268 is associative

LCM of 2268 and 2270 = LCM of 2270 and 2268

Related Least Common Multiples of 2268

Related Least Common Multiples of 2270

Frequently Asked Questions on LCM of 2268 and 2270

1. What is the LCM of 2268 and 2270?

Answer: LCM of 2268 and 2270 is 2574180.

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 2270?

Answer: Factors of 2270 are 1, 2, 5, 10, 227, 454, 1135, 2270. There are 8 integers that are factors of 2270. The greatest factor of 2270 is 2270.

4. How to Find the LCM of 2268 and 2270?

Answer:

Least Common Multiple of 2268 and 2270 = 2574180

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 2270

2270 = 2 x 5 x 227

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

LCM = 2574180 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 227

Step 4: Therefore, the least common multiple of 2268 and 2270 is 2574180.