Least Common Multiple of 8234 and 8238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8234 and 8238 the smallest integer that is 33915846 that is divisible by both numbers.

Least Common Multiple (LCM) of 8234 and 8238 is 33915846.

LCM(8234,8238) = 33915846

LCM of 8234 and 8238

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

LCM of:
and

Least Common Multiple of 8234 and 8238

LCM of 8234 and 8238 is 33915846

Least common multiple can be found by multiplying the highest exponent prime factors of 8234 and 8238. First we will calculate the prime factors of 8234 and 8238.

Prime Factorization of 8234


2 8234
23 4117
179 179
1

Prime factors of 8234 are 2, 23,179. Prime factorization of 8234 in exponential form is:

8234 = 21×231×1791

Prime Factorization of 8238


2 8238
3 4119
1373 1373
1

Prime factors of 8238 are 2, 3,1373. Prime factorization of 8238 in exponential form is:

8238 = 21×31×13731

Now multiplying the highest exponent prime factors to calculate the LCM of 8234 and 8238.

LCM(8234,8238) = 21×31×231×1791×13731
LCM(8234,8238) = 33915846

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1, 2, 23, 46, 179, 358, 4117, 8234

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1, 2, 3, 6, 1373, 2746, 4119, 8238

Least Common Multiple of 8234 and 8238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8234 and 8238, than apply into the LCM equation.

GCF(8234,8238) = 2
LCM(8234,8238) = ( 8234 × 8238) / 2
LCM(8234,8238) = 67831692 / 2
LCM(8234,8238) = 33915846

Properties of LCM 8234 and 8238

(i) The LCM of 8238 and 8234 is associative

LCM of 8234 and 8238 = LCM of 8238 and 8234

Related Least Common Multiples of 8234

Related Least Common Multiples of 8238

Frequently Asked Questions on LCM of 8234 and 8238

1. What is the LCM of 8234 and 8238?

Answer: LCM of 8234 and 8238 is 33915846.

2. What are the Factors of 8234?

Answer: Factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234. There are 8 integers that are factors of 8234. The greatest factor of 8234 is 8234.

3. What are the Factors of 8238?

Answer: Factors of 8238 are 1, 2, 3, 6, 1373, 2746, 4119, 8238. There are 8 integers that are factors of 8238. The greatest factor of 8238 is 8238.

4. How to Find the LCM of 8234 and 8238?

Answer:

Least Common Multiple of 8234 and 8238 = 33915846

Step 1: Find the prime factorization of 8234

8234 = 2 x 23 x 179

Step 2: Find the prime factorization of 8238

8238 = 2 x 3 x 1373

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

LCM = 33915846 = 2 x 3 x 23 x 179 x 1373

Step 4: Therefore, the least common multiple of 8234 and 8238 is 33915846.