Least Common Multiple of 2259 and 2264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2259 and 2264 the smallest integer that is 5114376 that is divisible by both numbers.

Least Common Multiple (LCM) of 2259 and 2264 is 5114376.

LCM(2259,2264) = 5114376

LCM of 2259 and 2264

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

LCM of:
and

Least Common Multiple of 2259 and 2264

LCM of 2259 and 2264 is 5114376

Least common multiple can be found by multiplying the highest exponent prime factors of 2259 and 2264. First we will calculate the prime factors of 2259 and 2264.

Prime Factorization of 2259


3 2259
3 753
251 251
1

Prime factors of 2259 are 3,251. Prime factorization of 2259 in exponential form is:

2259 = 32×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2259 and 2264.

LCM(2259,2264) = 23×32×2511×2831
LCM(2259,2264) = 5114376

Factors of 2259

List of positive integer factors of 2259 that divides 2259 without a remainder.

1, 3, 9, 251, 753, 2259

Factors of 2264

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

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

Least Common Multiple of 2259 and 2264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2259 and 2264, than apply into the LCM equation.

GCF(2259,2264) = 1
LCM(2259,2264) = ( 2259 × 2264) / 1
LCM(2259,2264) = 5114376 / 1
LCM(2259,2264) = 5114376

Properties of LCM 2259 and 2264

(i) The LCM of 2264 and 2259 is associative

LCM of 2259 and 2264 = LCM of 2264 and 2259

Related Least Common Multiples of 2259

Related Least Common Multiples of 2264

Frequently Asked Questions on LCM of 2259 and 2264

1. What is the LCM of 2259 and 2264?

Answer: LCM of 2259 and 2264 is 5114376.

2. What are the Factors of 2259?

Answer: Factors of 2259 are 1, 3, 9, 251, 753, 2259. There are 6 integers that are factors of 2259. The greatest factor of 2259 is 2259.

3. 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.

4. How to Find the LCM of 2259 and 2264?

Answer:

Least Common Multiple of 2259 and 2264 = 5114376

Step 1: Find the prime factorization of 2259

2259 = 3 x 3 x 251

Step 2: Find the prime factorization of 2264

2264 = 2 x 2 x 2 x 283

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

LCM = 5114376 = 2 x 2 x 2 x 3 x 3 x 251 x 283

Step 4: Therefore, the least common multiple of 2259 and 2264 is 5114376.