Least Common Multiple of 5252 and 5258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5252 and 5258 the smallest integer that is 13807508 that is divisible by both numbers.

Least Common Multiple (LCM) of 5252 and 5258 is 13807508.

LCM(5252,5258) = 13807508

LCM of 5252 and 5258

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

LCM of:
and

Least Common Multiple of 5252 and 5258

LCM of 5252 and 5258 is 13807508

Least common multiple can be found by multiplying the highest exponent prime factors of 5252 and 5258. First we will calculate the prime factors of 5252 and 5258.

Prime Factorization of 5252


2 5252
2 2626
13 1313
101 101
1

Prime factors of 5252 are 2, 13,101. Prime factorization of 5252 in exponential form is:

5252 = 22×131×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5252 and 5258.

LCM(5252,5258) = 22×111×131×1011×2391
LCM(5252,5258) = 13807508

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252

Factors of 5258

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

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

Least Common Multiple of 5252 and 5258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5252 and 5258, than apply into the LCM equation.

GCF(5252,5258) = 2
LCM(5252,5258) = ( 5252 × 5258) / 2
LCM(5252,5258) = 27615016 / 2
LCM(5252,5258) = 13807508

Properties of LCM 5252 and 5258

(i) The LCM of 5258 and 5252 is associative

LCM of 5252 and 5258 = LCM of 5258 and 5252

Related Least Common Multiples of 5252

Related Least Common Multiples of 5258

Frequently Asked Questions on LCM of 5252 and 5258

1. What is the LCM of 5252 and 5258?

Answer: LCM of 5252 and 5258 is 13807508.

2. What are the Factors of 5252?

Answer: Factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252. There are 12 integers that are factors of 5252. The greatest factor of 5252 is 5252.

3. 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.

4. How to Find the LCM of 5252 and 5258?

Answer:

Least Common Multiple of 5252 and 5258 = 13807508

Step 1: Find the prime factorization of 5252

5252 = 2 x 2 x 13 x 101

Step 2: Find the prime factorization of 5258

5258 = 2 x 11 x 239

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

LCM = 13807508 = 2 x 2 x 11 x 13 x 101 x 239

Step 4: Therefore, the least common multiple of 5252 and 5258 is 13807508.