Least Common Multiple of 10239 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 10239 and 10243 the smallest integer that is 104878077 that is divisible by both numbers.

Least Common Multiple (LCM) of 10239 and 10243 is 104878077.

LCM(10239,10243) = 104878077

LCM of 10239 and 10243

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

LCM of:
and

Least Common Multiple of 10239 and 10243

LCM of 10239 and 10243 is 104878077

Least common multiple can be found by multiplying the highest exponent prime factors of 10239 and 10243. First we will calculate the prime factors of 10239 and 10243.

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

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 10239 and 10243.

LCM(10239,10243) = 31×34131×102431
LCM(10239,10243) = 104878077

Factors of 10239

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

1, 3, 3413, 10239

Factors of 10243

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

1, 10243

Least Common Multiple of 10239 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 10239 and 10243, than apply into the LCM equation.

GCF(10239,10243) = 1
LCM(10239,10243) = ( 10239 × 10243) / 1
LCM(10239,10243) = 104878077 / 1
LCM(10239,10243) = 104878077

Properties of LCM 10239 and 10243

(i) The LCM of 10243 and 10239 is associative

LCM of 10239 and 10243 = LCM of 10243 and 10239

Related Least Common Multiples of 10239

Related Least Common Multiples of 10243

Frequently Asked Questions on LCM of 10239 and 10243

1. What is the LCM of 10239 and 10243?

Answer: LCM of 10239 and 10243 is 104878077.

2. 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.

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 10239 and 10243?

Answer:

Least Common Multiple of 10239 and 10243 = 104878077

Step 1: Find the prime factorization of 10239

10239 = 3 x 3413

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 = 104878077 = 3 x 3413 x 10243

Step 4: Therefore, the least common multiple of 10239 and 10243 is 104878077.