Least Common Multiple of 10234 and 10239

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

• Least Common Multiple of 10234 and 10239 by Prime method
• Least Common Multiple of 10234 and 10239 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10234 and 10239. First we will calculate the prime factors of 10234 and 10239.

Prime Factorization of 10234

Prime factors of 10234 are 2, 7, 17,43. Prime factorization of 10234 in exponential form is:

10234 = 2¹×7¹×17¹×43¹

Prime Factorization of 10239

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 10234 and 10239.

LCM(10234,10239) = 2¹×3¹×7¹×17¹×43¹×3413¹
LCM(10234,10239) = 104785926

Factors of 10234

List of positive integer factors of 10234 that divides 10234 without a remainder.

1, 2, 7, 14, 17, 34, 43, 86, 119, 238, 301, 602, 731, 1462, 5117, 10234

Factors of 10239

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

1, 3, 3413, 10239

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10234 and 10239, than apply into the LCM equation.

GCF(10234,10239) = 1
LCM(10234,10239) = ( 10234 × 10239) / 1
LCM(10234,10239) = 104785926 / 1
LCM(10234,10239) = 104785926

(i) The LCM of 10239 and 10234 is associative

LCM of 10234 and 10239 = LCM of 10239 and 10234

1. What is the LCM of 10234 and 10239?

Answer: LCM of 10234 and 10239 is 104785926.

2. What are the Factors of 10234?

Answer: Factors of 10234 are 1, 2, 7, 14, 17, 34, 43, 86, 119, 238, 301, 602, 731, 1462, 5117, 10234. There are 16 integers that are factors of 10234. The greatest factor of 10234 is 10234.

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 10234 and 10239?

Answer:

Least Common Multiple of 10234 and 10239 = 104785926

Step 1: Find the prime factorization of 10234

10234 = 2 x 7 x 17 x 43

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 = 104785926 = 2 x 3 x 7 x 17 x 43 x 3413

Step 4: Therefore, the least common multiple of 10234 and 10239 is 104785926.