Least Common Multiple of 5258 and 5264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5258 and 5264 the smallest integer that is 13839056 that is divisible by both numbers.

Least Common Multiple (LCM) of 5258 and 5264 is 13839056.

LCM(5258,5264) = 13839056

LCM of 5258 and 5264

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

LCM of:
and

Least Common Multiple of 5258 and 5264

LCM of 5258 and 5264 is 13839056

Least common multiple can be found by multiplying the highest exponent prime factors of 5258 and 5264. First we will calculate the prime factors of 5258 and 5264.

Prime Factorization of 5258


2 5258
11 2629
239 239
1

Prime factors of 5258 are 2, 11,239. Prime factorization of 5258 in exponential form is:

5258 = 21×111×2391

Prime Factorization of 5264


2 5264
2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 5264 are 2, 7,47. Prime factorization of 5264 in exponential form is:

5264 = 24×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5258 and 5264.

LCM(5258,5264) = 24×71×111×471×2391
LCM(5258,5264) = 13839056

Factors of 5258

List of positive integer factors of 5258 that divides 5258 without a remainder.

1, 2, 11, 22, 239, 478, 2629, 5258

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264

Least Common Multiple of 5258 and 5264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5258 and 5264, than apply into the LCM equation.

GCF(5258,5264) = 2
LCM(5258,5264) = ( 5258 × 5264) / 2
LCM(5258,5264) = 27678112 / 2
LCM(5258,5264) = 13839056

Properties of LCM 5258 and 5264

(i) The LCM of 5264 and 5258 is associative

LCM of 5258 and 5264 = LCM of 5264 and 5258

Related Least Common Multiples of 5258

Related Least Common Multiples of 5264

Frequently Asked Questions on LCM of 5258 and 5264

1. What is the LCM of 5258 and 5264?

Answer: LCM of 5258 and 5264 is 13839056.

2. What are the Factors of 5258?

Answer: Factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258. There are 8 integers that are factors of 5258. The greatest factor of 5258 is 5258.

3. What are the Factors of 5264?

Answer: Factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264. There are 20 integers that are factors of 5264. The greatest factor of 5264 is 5264.

4. How to Find the LCM of 5258 and 5264?

Answer:

Least Common Multiple of 5258 and 5264 = 13839056

Step 1: Find the prime factorization of 5258

5258 = 2 x 11 x 239

Step 2: Find the prime factorization of 5264

5264 = 2 x 2 x 2 x 2 x 7 x 47

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

LCM = 13839056 = 2 x 2 x 2 x 2 x 7 x 11 x 47 x 239

Step 4: Therefore, the least common multiple of 5258 and 5264 is 13839056.