Least Common Multiple of 10238 and 10242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10238 and 10242 the smallest integer that is 52428798 that is divisible by both numbers.

Least Common Multiple (LCM) of 10238 and 10242 is 52428798.

LCM(10238,10242) = 52428798

LCM of 10238 and 10242

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

LCM of:
and

Least Common Multiple of 10238 and 10242

LCM of 10238 and 10242 is 52428798

Least common multiple can be found by multiplying the highest exponent prime factors of 10238 and 10242. First we will calculate the prime factors of 10238 and 10242.

Prime Factorization of 10238


2 10238
5119 5119
1

Prime factors of 10238 are 2,5119. Prime factorization of 10238 in exponential form is:

10238 = 21×51191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10238 and 10242.

LCM(10238,10242) = 21×32×5691×51191
LCM(10238,10242) = 52428798

Factors of 10238

List of positive integer factors of 10238 that divides 10238 without a remainder.

1, 2, 5119, 10238

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

Least Common Multiple of 10238 and 10242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10238 and 10242, than apply into the LCM equation.

GCF(10238,10242) = 2
LCM(10238,10242) = ( 10238 × 10242) / 2
LCM(10238,10242) = 104857596 / 2
LCM(10238,10242) = 52428798

Properties of LCM 10238 and 10242

(i) The LCM of 10242 and 10238 is associative

LCM of 10238 and 10242 = LCM of 10242 and 10238

Related Least Common Multiples of 10238

Related Least Common Multiples of 10242

Frequently Asked Questions on LCM of 10238 and 10242

1. What is the LCM of 10238 and 10242?

Answer: LCM of 10238 and 10242 is 52428798.

2. What are the Factors of 10238?

Answer: Factors of 10238 are 1, 2, 5119, 10238. There are 4 integers that are factors of 10238. The greatest factor of 10238 is 10238.

3. 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.

4. How to Find the LCM of 10238 and 10242?

Answer:

Least Common Multiple of 10238 and 10242 = 52428798

Step 1: Find the prime factorization of 10238

10238 = 2 x 5119

Step 2: Find the prime factorization of 10242

10242 = 2 x 3 x 3 x 569

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

LCM = 52428798 = 2 x 3 x 3 x 569 x 5119

Step 4: Therefore, the least common multiple of 10238 and 10242 is 52428798.