Least Common Multiple of 5254 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 5254 and 5258 the smallest integer that is 13812766 that is divisible by both numbers.

Least Common Multiple (LCM) of 5254 and 5258 is 13812766.

LCM(5254,5258) = 13812766

LCM of 5254 and 5258

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

LCM of:
and

Least Common Multiple of 5254 and 5258

LCM of 5254 and 5258 is 13812766

Least common multiple can be found by multiplying the highest exponent prime factors of 5254 and 5258. First we will calculate the prime factors of 5254 and 5258.

Prime Factorization of 5254


2 5254
37 2627
71 71
1

Prime factors of 5254 are 2, 37,71. Prime factorization of 5254 in exponential form is:

5254 = 21×371×711

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 5254 and 5258.

LCM(5254,5258) = 21×111×371×711×2391
LCM(5254,5258) = 13812766

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1, 2, 37, 71, 74, 142, 2627, 5254

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 5254 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 5254 and 5258, than apply into the LCM equation.

GCF(5254,5258) = 2
LCM(5254,5258) = ( 5254 × 5258) / 2
LCM(5254,5258) = 27625532 / 2
LCM(5254,5258) = 13812766

Properties of LCM 5254 and 5258

(i) The LCM of 5258 and 5254 is associative

LCM of 5254 and 5258 = LCM of 5258 and 5254

Related Least Common Multiples of 5254

Related Least Common Multiples of 5258

Frequently Asked Questions on LCM of 5254 and 5258

1. What is the LCM of 5254 and 5258?

Answer: LCM of 5254 and 5258 is 13812766.

2. What are the Factors of 5254?

Answer: Factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254. There are 8 integers that are factors of 5254. The greatest factor of 5254 is 5254.

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 5254 and 5258?

Answer:

Least Common Multiple of 5254 and 5258 = 13812766

Step 1: Find the prime factorization of 5254

5254 = 2 x 37 x 71

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 = 13812766 = 2 x 11 x 37 x 71 x 239

Step 4: Therefore, the least common multiple of 5254 and 5258 is 13812766.