Least Common Multiple of 10232 and 10233

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 10233 the smallest integer that is 104704056 that is divisible by both numbers.

Least Common Multiple (LCM) of 10232 and 10233 is 104704056.

LCM(10232,10233) = 104704056

LCM of 10232 and 10233

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

LCM of:
and

Least Common Multiple of 10232 and 10233

LCM of 10232 and 10233 is 104704056

Least common multiple can be found by multiplying the highest exponent prime factors of 10232 and 10233. First we will calculate the prime factors of 10232 and 10233.

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 10233


3 10233
3 3411
3 1137
379 379
1

Prime factors of 10233 are 3,379. Prime factorization of 10233 in exponential form is:

10233 = 33×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 10232 and 10233.

LCM(10232,10233) = 23×33×3791×12791
LCM(10232,10233) = 104704056

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 10233

List of positive integer factors of 10233 that divides 10233 without a remainder.

1, 3, 9, 27, 379, 1137, 3411, 10233

Least Common Multiple of 10232 and 10233 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 10233, than apply into the LCM equation.

GCF(10232,10233) = 1
LCM(10232,10233) = ( 10232 × 10233) / 1
LCM(10232,10233) = 104704056 / 1
LCM(10232,10233) = 104704056

Properties of LCM 10232 and 10233

(i) The LCM of 10233 and 10232 is associative

LCM of 10232 and 10233 = LCM of 10233 and 10232

Related Least Common Multiples of 10232

Related Least Common Multiples of 10233

Frequently Asked Questions on LCM of 10232 and 10233

1. What is the LCM of 10232 and 10233?

Answer: LCM of 10232 and 10233 is 104704056.

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 10233?

Answer: Factors of 10233 are 1, 3, 9, 27, 379, 1137, 3411, 10233. There are 8 integers that are factors of 10233. The greatest factor of 10233 is 10233.

4. How to Find the LCM of 10232 and 10233?

Answer:

Least Common Multiple of 10232 and 10233 = 104704056

Step 1: Find the prime factorization of 10232

10232 = 2 x 2 x 2 x 1279

Step 2: Find the prime factorization of 10233

10233 = 3 x 3 x 3 x 379

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

LCM = 104704056 = 2 x 2 x 2 x 3 x 3 x 3 x 379 x 1279

Step 4: Therefore, the least common multiple of 10232 and 10233 is 104704056.