Least Common Multiple of 10232 and 10237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10232 and 10237 the smallest integer that is 104744984 that is divisible by both numbers.

Least Common Multiple (LCM) of 10232 and 10237 is 104744984.

LCM(10232,10237) = 104744984

LCM of 10232 and 10237

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

LCM of:
and

Least Common Multiple of 10232 and 10237

LCM of 10232 and 10237 is 104744984

Least common multiple can be found by multiplying the highest exponent prime factors of 10232 and 10237. First we will calculate the prime factors of 10232 and 10237.

Prime Factorization of 10232


2 10232
2 5116
2 2558
1279 1279
1

Prime factors of 10232 are 2,1279. Prime factorization of 10232 in exponential form is:

10232 = 23×12791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10232 and 10237.

LCM(10232,10237) = 23×291×3531×12791
LCM(10232,10237) = 104744984

Factors of 10232

List of positive integer factors of 10232 that divides 10232 without a remainder.

1, 2, 4, 8, 1279, 2558, 5116, 10232

Factors of 10237

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

1, 29, 353, 10237

Least Common Multiple of 10232 and 10237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10232 and 10237, than apply into the LCM equation.

GCF(10232,10237) = 1
LCM(10232,10237) = ( 10232 × 10237) / 1
LCM(10232,10237) = 104744984 / 1
LCM(10232,10237) = 104744984

Properties of LCM 10232 and 10237

(i) The LCM of 10237 and 10232 is associative

LCM of 10232 and 10237 = LCM of 10237 and 10232

Related Least Common Multiples of 10232

Related Least Common Multiples of 10237

Frequently Asked Questions on LCM of 10232 and 10237

1. What is the LCM of 10232 and 10237?

Answer: LCM of 10232 and 10237 is 104744984.

2. What are the Factors of 10232?

Answer: Factors of 10232 are 1, 2, 4, 8, 1279, 2558, 5116, 10232. There are 8 integers that are factors of 10232. The greatest factor of 10232 is 10232.

3. 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.

4. How to Find the LCM of 10232 and 10237?

Answer:

Least Common Multiple of 10232 and 10237 = 104744984

Step 1: Find the prime factorization of 10232

10232 = 2 x 2 x 2 x 1279

Step 2: Find the prime factorization of 10237

10237 = 29 x 353

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

LCM = 104744984 = 2 x 2 x 2 x 29 x 353 x 1279

Step 4: Therefore, the least common multiple of 10232 and 10237 is 104744984.