Least Common Multiple of 5242 and 5250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5242 and 5250 the smallest integer that is 13760250 that is divisible by both numbers.

Least Common Multiple (LCM) of 5242 and 5250 is 13760250.

LCM(5242,5250) = 13760250

LCM of 5242 and 5250

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

LCM of:
and

Least Common Multiple of 5242 and 5250

LCM of 5242 and 5250 is 13760250

Least common multiple can be found by multiplying the highest exponent prime factors of 5242 and 5250. First we will calculate the prime factors of 5242 and 5250.

Prime Factorization of 5242


2 5242
2621 2621
1

Prime factors of 5242 are 2,2621. Prime factorization of 5242 in exponential form is:

5242 = 21×26211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5242 and 5250.

LCM(5242,5250) = 21×31×53×71×26211
LCM(5242,5250) = 13760250

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1, 2, 2621, 5242

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

Least Common Multiple of 5242 and 5250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5242 and 5250, than apply into the LCM equation.

GCF(5242,5250) = 2
LCM(5242,5250) = ( 5242 × 5250) / 2
LCM(5242,5250) = 27520500 / 2
LCM(5242,5250) = 13760250

Properties of LCM 5242 and 5250

(i) The LCM of 5250 and 5242 is associative

LCM of 5242 and 5250 = LCM of 5250 and 5242

Related Least Common Multiples of 5242

Related Least Common Multiples of 5250

Frequently Asked Questions on LCM of 5242 and 5250

1. What is the LCM of 5242 and 5250?

Answer: LCM of 5242 and 5250 is 13760250.

2. What are the Factors of 5242?

Answer: Factors of 5242 are 1, 2, 2621, 5242. There are 4 integers that are factors of 5242. The greatest factor of 5242 is 5242.

3. 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.

4. How to Find the LCM of 5242 and 5250?

Answer:

Least Common Multiple of 5242 and 5250 = 13760250

Step 1: Find the prime factorization of 5242

5242 = 2 x 2621

Step 2: Find the prime factorization of 5250

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

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

LCM = 13760250 = 2 x 3 x 5 x 5 x 5 x 7 x 2621

Step 4: Therefore, the least common multiple of 5242 and 5250 is 13760250.