Least Common Multiple of 10242 and 10250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10242 and 10250 the smallest integer that is 52490250 that is divisible by both numbers.

Least Common Multiple (LCM) of 10242 and 10250 is 52490250.

LCM(10242,10250) = 52490250

LCM of 10242 and 10250

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

LCM of:
and

Least Common Multiple of 10242 and 10250

LCM of 10242 and 10250 is 52490250

Least common multiple can be found by multiplying the highest exponent prime factors of 10242 and 10250. First we will calculate the prime factors of 10242 and 10250.

Prime Factorization of 10242


2 10242
3 5121
3 1707
569 569
1

Prime factors of 10242 are 2, 3,569. Prime factorization of 10242 in exponential form is:

10242 = 21×32×5691

Prime Factorization of 10250


2 10250
5 5125
5 1025
5 205
41 41
1

Prime factors of 10250 are 2, 5,41. Prime factorization of 10250 in exponential form is:

10250 = 21×53×411

Now multiplying the highest exponent prime factors to calculate the LCM of 10242 and 10250.

LCM(10242,10250) = 21×32×53×411×5691
LCM(10242,10250) = 52490250

Factors of 10242

List of positive integer factors of 10242 that divides 10242 without a remainder.

1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242

Factors of 10250

List of positive integer factors of 10250 that divides 10250 without a remainder.

1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250

Least Common Multiple of 10242 and 10250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10242 and 10250, than apply into the LCM equation.

GCF(10242,10250) = 2
LCM(10242,10250) = ( 10242 × 10250) / 2
LCM(10242,10250) = 104980500 / 2
LCM(10242,10250) = 52490250

Properties of LCM 10242 and 10250

(i) The LCM of 10250 and 10242 is associative

LCM of 10242 and 10250 = LCM of 10250 and 10242

Related Least Common Multiples of 10242

Related Least Common Multiples of 10250

Frequently Asked Questions on LCM of 10242 and 10250

1. What is the LCM of 10242 and 10250?

Answer: LCM of 10242 and 10250 is 52490250.

2. What are the Factors of 10242?

Answer: Factors of 10242 are 1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242. There are 12 integers that are factors of 10242. The greatest factor of 10242 is 10242.

3. What are the Factors of 10250?

Answer: Factors of 10250 are 1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250. There are 16 integers that are factors of 10250. The greatest factor of 10250 is 10250.

4. How to Find the LCM of 10242 and 10250?

Answer:

Least Common Multiple of 10242 and 10250 = 52490250

Step 1: Find the prime factorization of 10242

10242 = 2 x 3 x 3 x 569

Step 2: Find the prime factorization of 10250

10250 = 2 x 5 x 5 x 5 x 41

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

LCM = 52490250 = 2 x 3 x 3 x 5 x 5 x 5 x 41 x 569

Step 4: Therefore, the least common multiple of 10242 and 10250 is 52490250.