Least Common Multiple of 10237 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 10237 and 10242 the smallest integer that is 104847354 that is divisible by both numbers.

Least Common Multiple (LCM) of 10237 and 10242 is 104847354.

LCM(10237,10242) = 104847354

LCM of 10237 and 10242

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

LCM of:
and

Least Common Multiple of 10237 and 10242

LCM of 10237 and 10242 is 104847354

Least common multiple can be found by multiplying the highest exponent prime factors of 10237 and 10242. First we will calculate the prime factors of 10237 and 10242.

Prime Factorization of 10237


29 10237
353 353
1

Prime factors of 10237 are 29,353. Prime factorization of 10237 in exponential form is:

10237 = 291×3531

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 10237 and 10242.

LCM(10237,10242) = 21×32×291×3531×5691
LCM(10237,10242) = 104847354

Factors of 10237

List of positive integer factors of 10237 that divides 10237 without a remainder.

1, 29, 353, 10237

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 10237 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 10237 and 10242, than apply into the LCM equation.

GCF(10237,10242) = 1
LCM(10237,10242) = ( 10237 × 10242) / 1
LCM(10237,10242) = 104847354 / 1
LCM(10237,10242) = 104847354

Properties of LCM 10237 and 10242

(i) The LCM of 10242 and 10237 is associative

LCM of 10237 and 10242 = LCM of 10242 and 10237

Related Least Common Multiples of 10237

Related Least Common Multiples of 10242

Frequently Asked Questions on LCM of 10237 and 10242

1. What is the LCM of 10237 and 10242?

Answer: LCM of 10237 and 10242 is 104847354.

2. What are the Factors of 10237?

Answer: Factors of 10237 are 1, 29, 353, 10237. There are 4 integers that are factors of 10237. The greatest factor of 10237 is 10237.

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 10237 and 10242?

Answer:

Least Common Multiple of 10237 and 10242 = 104847354

Step 1: Find the prime factorization of 10237

10237 = 29 x 353

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 = 104847354 = 2 x 3 x 3 x 29 x 353 x 569

Step 4: Therefore, the least common multiple of 10237 and 10242 is 104847354.