Least Common Multiple of 10234 and 10238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10234 and 10238 the smallest integer that is 52387846 that is divisible by both numbers.

Least Common Multiple (LCM) of 10234 and 10238 is 52387846.

LCM(10234,10238) = 52387846

LCM of 10234 and 10238

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

LCM of:
and

Least Common Multiple of 10234 and 10238

LCM of 10234 and 10238 is 52387846

Least common multiple can be found by multiplying the highest exponent prime factors of 10234 and 10238. First we will calculate the prime factors of 10234 and 10238.

Prime Factorization of 10234


2 10234
7 5117
17 731
43 43
1

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 10238


2 10238
5119 5119
1

Prime factors of 10238 are 2,5119. Prime factorization of 10238 in exponential form is:

10238 = 21×51191

Now multiplying the highest exponent prime factors to calculate the LCM of 10234 and 10238.

LCM(10234,10238) = 21×71×171×431×51191
LCM(10234,10238) = 52387846

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 10238

List of positive integer factors of 10238 that divides 10238 without a remainder.

1, 2, 5119, 10238

Least Common Multiple of 10234 and 10238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10234 and 10238, than apply into the LCM equation.

GCF(10234,10238) = 2
LCM(10234,10238) = ( 10234 × 10238) / 2
LCM(10234,10238) = 104775692 / 2
LCM(10234,10238) = 52387846

Properties of LCM 10234 and 10238

(i) The LCM of 10238 and 10234 is associative

LCM of 10234 and 10238 = LCM of 10238 and 10234

Related Least Common Multiples of 10234

Related Least Common Multiples of 10238

Frequently Asked Questions on LCM of 10234 and 10238

1. What is the LCM of 10234 and 10238?

Answer: LCM of 10234 and 10238 is 52387846.

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 10238?

Answer: Factors of 10238 are 1, 2, 5119, 10238. There are 4 integers that are factors of 10238. The greatest factor of 10238 is 10238.

4. How to Find the LCM of 10234 and 10238?

Answer:

Least Common Multiple of 10234 and 10238 = 52387846

Step 1: Find the prime factorization of 10234

10234 = 2 x 7 x 17 x 43

Step 2: Find the prime factorization of 10238

10238 = 2 x 5119

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

LCM = 52387846 = 2 x 7 x 17 x 43 x 5119

Step 4: Therefore, the least common multiple of 10234 and 10238 is 52387846.