Least Common Multiple of 2264 and 2271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2264 and 2271 the smallest integer that is 5141544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2264 and 2271 is 5141544.

LCM(2264,2271) = 5141544

LCM of 2264 and 2271

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

LCM of:
and

Least Common Multiple of 2264 and 2271

LCM of 2264 and 2271 is 5141544

Least common multiple can be found by multiplying the highest exponent prime factors of 2264 and 2271. First we will calculate the prime factors of 2264 and 2271.

Prime Factorization of 2264


2 2264
2 1132
2 566
283 283
1

Prime factors of 2264 are 2,283. Prime factorization of 2264 in exponential form is:

2264 = 23×2831

Prime Factorization of 2271


3 2271
757 757
1

Prime factors of 2271 are 3,757. Prime factorization of 2271 in exponential form is:

2271 = 31×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 2264 and 2271.

LCM(2264,2271) = 23×31×2831×7571
LCM(2264,2271) = 5141544

Factors of 2264

List of positive integer factors of 2264 that divides 2264 without a remainder.

1, 2, 4, 8, 283, 566, 1132, 2264

Factors of 2271

List of positive integer factors of 2271 that divides 2271 without a remainder.

1, 3, 757, 2271

Least Common Multiple of 2264 and 2271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2264 and 2271, than apply into the LCM equation.

GCF(2264,2271) = 1
LCM(2264,2271) = ( 2264 × 2271) / 1
LCM(2264,2271) = 5141544 / 1
LCM(2264,2271) = 5141544

Properties of LCM 2264 and 2271

(i) The LCM of 2271 and 2264 is associative

LCM of 2264 and 2271 = LCM of 2271 and 2264

Related Least Common Multiples of 2264

Related Least Common Multiples of 2271

Frequently Asked Questions on LCM of 2264 and 2271

1. What is the LCM of 2264 and 2271?

Answer: LCM of 2264 and 2271 is 5141544.

2. What are the Factors of 2264?

Answer: Factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264. There are 8 integers that are factors of 2264. The greatest factor of 2264 is 2264.

3. What are the Factors of 2271?

Answer: Factors of 2271 are 1, 3, 757, 2271. There are 4 integers that are factors of 2271. The greatest factor of 2271 is 2271.

4. How to Find the LCM of 2264 and 2271?

Answer:

Least Common Multiple of 2264 and 2271 = 5141544

Step 1: Find the prime factorization of 2264

2264 = 2 x 2 x 2 x 283

Step 2: Find the prime factorization of 2271

2271 = 3 x 757

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

LCM = 5141544 = 2 x 2 x 2 x 3 x 283 x 757

Step 4: Therefore, the least common multiple of 2264 and 2271 is 5141544.