Least Common Multiple of 8232 and 8239

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 8239 the smallest integer that is 9689064 that is divisible by both numbers.

Least Common Multiple (LCM) of 8232 and 8239 is 9689064.

LCM(8232,8239) = 9689064

LCM of 8232 and 8239

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

LCM of:
and

Least Common Multiple of 8232 and 8239

LCM of 8232 and 8239 is 9689064

Least common multiple can be found by multiplying the highest exponent prime factors of 8232 and 8239. First we will calculate the prime factors of 8232 and 8239.

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 8239


7 8239
11 1177
107 107
1

Prime factors of 8239 are 7, 11,107. Prime factorization of 8239 in exponential form is:

8239 = 71×111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8232 and 8239.

LCM(8232,8239) = 23×31×73×111×1071
LCM(8232,8239) = 9689064

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 8239

List of positive integer factors of 8239 that divides 8239 without a remainder.

1, 7, 11, 77, 107, 749, 1177, 8239

Least Common Multiple of 8232 and 8239 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 8239, than apply into the LCM equation.

GCF(8232,8239) = 7
LCM(8232,8239) = ( 8232 × 8239) / 7
LCM(8232,8239) = 67823448 / 7
LCM(8232,8239) = 9689064

Properties of LCM 8232 and 8239

(i) The LCM of 8239 and 8232 is associative

LCM of 8232 and 8239 = LCM of 8239 and 8232

Related Least Common Multiples of 8232

Related Least Common Multiples of 8239

Frequently Asked Questions on LCM of 8232 and 8239

1. What is the LCM of 8232 and 8239?

Answer: LCM of 8232 and 8239 is 9689064.

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 8239?

Answer: Factors of 8239 are 1, 7, 11, 77, 107, 749, 1177, 8239. There are 8 integers that are factors of 8239. The greatest factor of 8239 is 8239.

4. How to Find the LCM of 8232 and 8239?

Answer:

Least Common Multiple of 8232 and 8239 = 9689064

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 8239

8239 = 7 x 11 x 107

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

LCM = 9689064 = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 8232 and 8239 is 9689064.