Least Common Multiple of 8232 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 8232 and 8238 the smallest integer that is 11302536 that is divisible by both numbers.

Least Common Multiple (LCM) of 8232 and 8238 is 11302536.

LCM(8232,8238) = 11302536

LCM of 8232 and 8238

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

LCM of:
and

Least Common Multiple of 8232 and 8238

LCM of 8232 and 8238 is 11302536

Least common multiple can be found by multiplying the highest exponent prime factors of 8232 and 8238. First we will calculate the prime factors of 8232 and 8238.

Prime Factorization of 8232


2 8232
2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 8232 are 2, 3,7. Prime factorization of 8232 in exponential form is:

8232 = 23×31×73

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 8232 and 8238.

LCM(8232,8238) = 23×31×73×13731
LCM(8232,8238) = 11302536

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232

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 8232 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 8232 and 8238, than apply into the LCM equation.

GCF(8232,8238) = 6
LCM(8232,8238) = ( 8232 × 8238) / 6
LCM(8232,8238) = 67815216 / 6
LCM(8232,8238) = 11302536

Properties of LCM 8232 and 8238

(i) The LCM of 8238 and 8232 is associative

LCM of 8232 and 8238 = LCM of 8238 and 8232

Related Least Common Multiples of 8232

Related Least Common Multiples of 8238

Frequently Asked Questions on LCM of 8232 and 8238

1. What is the LCM of 8232 and 8238?

Answer: LCM of 8232 and 8238 is 11302536.

2. What are the Factors of 8232?

Answer: Factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232. There are 32 integers that are factors of 8232. The greatest factor of 8232 is 8232.

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 8232 and 8238?

Answer:

Least Common Multiple of 8232 and 8238 = 11302536

Step 1: Find the prime factorization of 8232

8232 = 2 x 2 x 2 x 3 x 7 x 7 x 7

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 = 11302536 = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 1373

Step 4: Therefore, the least common multiple of 8232 and 8238 is 11302536.