Least Common Multiple of 2268 and 2274

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 2274 the smallest integer that is 859572 that is divisible by both numbers.

Least Common Multiple (LCM) of 2268 and 2274 is 859572.

LCM(2268,2274) = 859572

LCM of 2268 and 2274

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

LCM of:
and

Least Common Multiple of 2268 and 2274

LCM of 2268 and 2274 is 859572

Least common multiple can be found by multiplying the highest exponent prime factors of 2268 and 2274. First we will calculate the prime factors of 2268 and 2274.

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 2274


2 2274
3 1137
379 379
1

Prime factors of 2274 are 2, 3,379. Prime factorization of 2274 in exponential form is:

2274 = 21×31×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 2268 and 2274.

LCM(2268,2274) = 22×34×71×3791
LCM(2268,2274) = 859572

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 2274

List of positive integer factors of 2274 that divides 2274 without a remainder.

1, 2, 3, 6, 379, 758, 1137, 2274

Least Common Multiple of 2268 and 2274 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 2274, than apply into the LCM equation.

GCF(2268,2274) = 6
LCM(2268,2274) = ( 2268 × 2274) / 6
LCM(2268,2274) = 5157432 / 6
LCM(2268,2274) = 859572

Properties of LCM 2268 and 2274

(i) The LCM of 2274 and 2268 is associative

LCM of 2268 and 2274 = LCM of 2274 and 2268

Related Least Common Multiples of 2268

Related Least Common Multiples of 2274

Frequently Asked Questions on LCM of 2268 and 2274

1. What is the LCM of 2268 and 2274?

Answer: LCM of 2268 and 2274 is 859572.

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 2274?

Answer: Factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274. There are 8 integers that are factors of 2274. The greatest factor of 2274 is 2274.

4. How to Find the LCM of 2268 and 2274?

Answer:

Least Common Multiple of 2268 and 2274 = 859572

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 2274

2274 = 2 x 3 x 379

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

LCM = 859572 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 379

Step 4: Therefore, the least common multiple of 2268 and 2274 is 859572.