Least Common Multiple of 10233 and 10239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10233 and 10239 the smallest integer that is 34925229 that is divisible by both numbers.

Least Common Multiple (LCM) of 10233 and 10239 is 34925229.

LCM(10233,10239) = 34925229

LCM of 10233 and 10239

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

LCM of:
and

Least Common Multiple of 10233 and 10239

LCM of 10233 and 10239 is 34925229

Least common multiple can be found by multiplying the highest exponent prime factors of 10233 and 10239. First we will calculate the prime factors of 10233 and 10239.

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

Prime Factorization of 10239


3 10239
3413 3413
1

Prime factors of 10239 are 3,3413. Prime factorization of 10239 in exponential form is:

10239 = 31×34131

Now multiplying the highest exponent prime factors to calculate the LCM of 10233 and 10239.

LCM(10233,10239) = 33×3791×34131
LCM(10233,10239) = 34925229

Factors of 10233

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

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

Factors of 10239

List of positive integer factors of 10239 that divides 10239 without a remainder.

1, 3, 3413, 10239

Least Common Multiple of 10233 and 10239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10233 and 10239, than apply into the LCM equation.

GCF(10233,10239) = 3
LCM(10233,10239) = ( 10233 × 10239) / 3
LCM(10233,10239) = 104775687 / 3
LCM(10233,10239) = 34925229

Properties of LCM 10233 and 10239

(i) The LCM of 10239 and 10233 is associative

LCM of 10233 and 10239 = LCM of 10239 and 10233

Related Least Common Multiples of 10233

Related Least Common Multiples of 10239

Frequently Asked Questions on LCM of 10233 and 10239

1. What is the LCM of 10233 and 10239?

Answer: LCM of 10233 and 10239 is 34925229.

2. 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.

3. What are the Factors of 10239?

Answer: Factors of 10239 are 1, 3, 3413, 10239. There are 4 integers that are factors of 10239. The greatest factor of 10239 is 10239.

4. How to Find the LCM of 10233 and 10239?

Answer:

Least Common Multiple of 10233 and 10239 = 34925229

Step 1: Find the prime factorization of 10233

10233 = 3 x 3 x 3 x 379

Step 2: Find the prime factorization of 10239

10239 = 3 x 3413

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

LCM = 34925229 = 3 x 3 x 3 x 379 x 3413

Step 4: Therefore, the least common multiple of 10233 and 10239 is 34925229.