Least Common Multiple of 10237 and 10243

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 10243 the smallest integer that is 104857591 that is divisible by both numbers.

Least Common Multiple (LCM) of 10237 and 10243 is 104857591.

LCM(10237,10243) = 104857591

LCM of 10237 and 10243

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

LCM of:
and

Least Common Multiple of 10237 and 10243

LCM of 10237 and 10243 is 104857591

Least common multiple can be found by multiplying the highest exponent prime factors of 10237 and 10243. First we will calculate the prime factors of 10237 and 10243.

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 10243


10243 10243
1

Prime factors of 10243 are 10243. Prime factorization of 10243 in exponential form is:

10243 = 102431

Now multiplying the highest exponent prime factors to calculate the LCM of 10237 and 10243.

LCM(10237,10243) = 291×3531×102431
LCM(10237,10243) = 104857591

Factors of 10237

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

1, 29, 353, 10237

Factors of 10243

List of positive integer factors of 10243 that divides 10243 without a remainder.

1, 10243

Least Common Multiple of 10237 and 10243 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 10243, than apply into the LCM equation.

GCF(10237,10243) = 1
LCM(10237,10243) = ( 10237 × 10243) / 1
LCM(10237,10243) = 104857591 / 1
LCM(10237,10243) = 104857591

Properties of LCM 10237 and 10243

(i) The LCM of 10243 and 10237 is associative

LCM of 10237 and 10243 = LCM of 10243 and 10237

Related Least Common Multiples of 10237

Related Least Common Multiples of 10243

Frequently Asked Questions on LCM of 10237 and 10243

1. What is the LCM of 10237 and 10243?

Answer: LCM of 10237 and 10243 is 104857591.

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 10243?

Answer: Factors of 10243 are 1, 10243. There are 2 integers that are factors of 10243. The greatest factor of 10243 is 10243.

4. How to Find the LCM of 10237 and 10243?

Answer:

Least Common Multiple of 10237 and 10243 = 104857591

Step 1: Find the prime factorization of 10237

10237 = 29 x 353

Step 2: Find the prime factorization of 10243

10243 = 10243

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

LCM = 104857591 = 29 x 353 x 10243

Step 4: Therefore, the least common multiple of 10237 and 10243 is 104857591.