Least Common Multiple of 5258 and 5265

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 5265 the smallest integer that is 27683370 that is divisible by both numbers.

Least Common Multiple (LCM) of 5258 and 5265 is 27683370.

LCM(5258,5265) = 27683370

LCM of 5258 and 5265

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

LCM of:
and

Least Common Multiple of 5258 and 5265

LCM of 5258 and 5265 is 27683370

Least common multiple can be found by multiplying the highest exponent prime factors of 5258 and 5265. First we will calculate the prime factors of 5258 and 5265.

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 5265


3 5265
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 5265 are 3, 5,13. Prime factorization of 5265 in exponential form is:

5265 = 34×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5258 and 5265.

LCM(5258,5265) = 21×34×51×111×131×2391
LCM(5258,5265) = 27683370

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 5265

List of positive integer factors of 5265 that divides 5265 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265

Least Common Multiple of 5258 and 5265 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 5265, than apply into the LCM equation.

GCF(5258,5265) = 1
LCM(5258,5265) = ( 5258 × 5265) / 1
LCM(5258,5265) = 27683370 / 1
LCM(5258,5265) = 27683370

Properties of LCM 5258 and 5265

(i) The LCM of 5265 and 5258 is associative

LCM of 5258 and 5265 = LCM of 5265 and 5258

Related Least Common Multiples of 5258

Related Least Common Multiples of 5265

Frequently Asked Questions on LCM of 5258 and 5265

1. What is the LCM of 5258 and 5265?

Answer: LCM of 5258 and 5265 is 27683370.

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 5265?

Answer: Factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265. There are 20 integers that are factors of 5265. The greatest factor of 5265 is 5265.

4. How to Find the LCM of 5258 and 5265?

Answer:

Least Common Multiple of 5258 and 5265 = 27683370

Step 1: Find the prime factorization of 5258

5258 = 2 x 11 x 239

Step 2: Find the prime factorization of 5265

5265 = 3 x 3 x 3 x 3 x 5 x 13

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

LCM = 27683370 = 2 x 3 x 3 x 3 x 3 x 5 x 11 x 13 x 239

Step 4: Therefore, the least common multiple of 5258 and 5265 is 27683370.