Least Common Multiple of 5253 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 5253 and 5258 the smallest integer that is 27620274 that is divisible by both numbers.

Least Common Multiple (LCM) of 5253 and 5258 is 27620274.

LCM(5253,5258) = 27620274

LCM of 5253 and 5258

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

LCM of:
and

Least Common Multiple of 5253 and 5258

LCM of 5253 and 5258 is 27620274

Least common multiple can be found by multiplying the highest exponent prime factors of 5253 and 5258. First we will calculate the prime factors of 5253 and 5258.

Prime Factorization of 5253


3 5253
17 1751
103 103
1

Prime factors of 5253 are 3, 17,103. Prime factorization of 5253 in exponential form is:

5253 = 31×171×1031

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 5253 and 5258.

LCM(5253,5258) = 21×31×111×171×1031×2391
LCM(5253,5258) = 27620274

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1, 3, 17, 51, 103, 309, 1751, 5253

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 5253 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 5253 and 5258, than apply into the LCM equation.

GCF(5253,5258) = 1
LCM(5253,5258) = ( 5253 × 5258) / 1
LCM(5253,5258) = 27620274 / 1
LCM(5253,5258) = 27620274

Properties of LCM 5253 and 5258

(i) The LCM of 5258 and 5253 is associative

LCM of 5253 and 5258 = LCM of 5258 and 5253

Related Least Common Multiples of 5253

Related Least Common Multiples of 5258

Frequently Asked Questions on LCM of 5253 and 5258

1. What is the LCM of 5253 and 5258?

Answer: LCM of 5253 and 5258 is 27620274.

2. What are the Factors of 5253?

Answer: Factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253. There are 8 integers that are factors of 5253. The greatest factor of 5253 is 5253.

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 5253 and 5258?

Answer:

Least Common Multiple of 5253 and 5258 = 27620274

Step 1: Find the prime factorization of 5253

5253 = 3 x 17 x 103

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 = 27620274 = 2 x 3 x 11 x 17 x 103 x 239

Step 4: Therefore, the least common multiple of 5253 and 5258 is 27620274.