Least Common Multiple of 5250 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 5250 and 5258 the smallest integer that is 13802250 that is divisible by both numbers.

Least Common Multiple (LCM) of 5250 and 5258 is 13802250.

LCM(5250,5258) = 13802250

LCM of 5250 and 5258

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

LCM of:
and

Least Common Multiple of 5250 and 5258

LCM of 5250 and 5258 is 13802250

Least common multiple can be found by multiplying the highest exponent prime factors of 5250 and 5258. First we will calculate the prime factors of 5250 and 5258.

Prime Factorization of 5250


2 5250
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 5250 are 2, 3, 5,7. Prime factorization of 5250 in exponential form is:

5250 = 21×31×53×71

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 5250 and 5258.

LCM(5250,5258) = 21×31×53×71×111×2391
LCM(5250,5258) = 13802250

Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250

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 5250 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 5250 and 5258, than apply into the LCM equation.

GCF(5250,5258) = 2
LCM(5250,5258) = ( 5250 × 5258) / 2
LCM(5250,5258) = 27604500 / 2
LCM(5250,5258) = 13802250

Properties of LCM 5250 and 5258

(i) The LCM of 5258 and 5250 is associative

LCM of 5250 and 5258 = LCM of 5258 and 5250

Related Least Common Multiples of 5250

Related Least Common Multiples of 5258

Frequently Asked Questions on LCM of 5250 and 5258

1. What is the LCM of 5250 and 5258?

Answer: LCM of 5250 and 5258 is 13802250.

2. What are the Factors of 5250?

Answer: Factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250. There are 32 integers that are factors of 5250. The greatest factor of 5250 is 5250.

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 5250 and 5258?

Answer:

Least Common Multiple of 5250 and 5258 = 13802250

Step 1: Find the prime factorization of 5250

5250 = 2 x 3 x 5 x 5 x 5 x 7

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 = 13802250 = 2 x 3 x 5 x 5 x 5 x 7 x 11 x 239

Step 4: Therefore, the least common multiple of 5250 and 5258 is 13802250.