Least Common Multiple of 10242 and 10249

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 10249 the smallest integer that is 104970258 that is divisible by both numbers.

Least Common Multiple (LCM) of 10242 and 10249 is 104970258.

LCM(10242,10249) = 104970258

LCM of 10242 and 10249

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

LCM of:
and

Least Common Multiple of 10242 and 10249

LCM of 10242 and 10249 is 104970258

Least common multiple can be found by multiplying the highest exponent prime factors of 10242 and 10249. First we will calculate the prime factors of 10242 and 10249.

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 10249


37 10249
277 277
1

Prime factors of 10249 are 37,277. Prime factorization of 10249 in exponential form is:

10249 = 371×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 10242 and 10249.

LCM(10242,10249) = 21×32×371×2771×5691
LCM(10242,10249) = 104970258

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 10249

List of positive integer factors of 10249 that divides 10249 without a remainder.

1, 37, 277, 10249

Least Common Multiple of 10242 and 10249 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 10249, than apply into the LCM equation.

GCF(10242,10249) = 1
LCM(10242,10249) = ( 10242 × 10249) / 1
LCM(10242,10249) = 104970258 / 1
LCM(10242,10249) = 104970258

Properties of LCM 10242 and 10249

(i) The LCM of 10249 and 10242 is associative

LCM of 10242 and 10249 = LCM of 10249 and 10242

Related Least Common Multiples of 10242

Related Least Common Multiples of 10249

Frequently Asked Questions on LCM of 10242 and 10249

1. What is the LCM of 10242 and 10249?

Answer: LCM of 10242 and 10249 is 104970258.

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 10249?

Answer: Factors of 10249 are 1, 37, 277, 10249. There are 4 integers that are factors of 10249. The greatest factor of 10249 is 10249.

4. How to Find the LCM of 10242 and 10249?

Answer:

Least Common Multiple of 10242 and 10249 = 104970258

Step 1: Find the prime factorization of 10242

10242 = 2 x 3 x 3 x 569

Step 2: Find the prime factorization of 10249

10249 = 37 x 277

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

LCM = 104970258 = 2 x 3 x 3 x 37 x 277 x 569

Step 4: Therefore, the least common multiple of 10242 and 10249 is 104970258.