Least Common Multiple of 10237 and 10245

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 10245 the smallest integer that is 104878065 that is divisible by both numbers.

Least Common Multiple (LCM) of 10237 and 10245 is 104878065.

LCM(10237,10245) = 104878065

LCM of 10237 and 10245

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

LCM of:
and

Least Common Multiple of 10237 and 10245

LCM of 10237 and 10245 is 104878065

Least common multiple can be found by multiplying the highest exponent prime factors of 10237 and 10245. First we will calculate the prime factors of 10237 and 10245.

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 10245


3 10245
5 3415
683 683
1

Prime factors of 10245 are 3, 5,683. Prime factorization of 10245 in exponential form is:

10245 = 31×51×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 10237 and 10245.

LCM(10237,10245) = 31×51×291×3531×6831
LCM(10237,10245) = 104878065

Factors of 10237

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

1, 29, 353, 10237

Factors of 10245

List of positive integer factors of 10245 that divides 10245 without a remainder.

1, 3, 5, 15, 683, 2049, 3415, 10245

Least Common Multiple of 10237 and 10245 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 10245, than apply into the LCM equation.

GCF(10237,10245) = 1
LCM(10237,10245) = ( 10237 × 10245) / 1
LCM(10237,10245) = 104878065 / 1
LCM(10237,10245) = 104878065

Properties of LCM 10237 and 10245

(i) The LCM of 10245 and 10237 is associative

LCM of 10237 and 10245 = LCM of 10245 and 10237

Related Least Common Multiples of 10237

Related Least Common Multiples of 10245

Frequently Asked Questions on LCM of 10237 and 10245

1. What is the LCM of 10237 and 10245?

Answer: LCM of 10237 and 10245 is 104878065.

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 10245?

Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.

4. How to Find the LCM of 10237 and 10245?

Answer:

Least Common Multiple of 10237 and 10245 = 104878065

Step 1: Find the prime factorization of 10237

10237 = 29 x 353

Step 2: Find the prime factorization of 10245

10245 = 3 x 5 x 683

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

LCM = 104878065 = 3 x 5 x 29 x 353 x 683

Step 4: Therefore, the least common multiple of 10237 and 10245 is 104878065.