Least Common Multiple of 6832 and 6838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6832 and 6838 the smallest integer that is 23358608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6832 and 6838 is 23358608.

LCM(6832,6838) = 23358608

LCM of 6832 and 6838

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

LCM of:
and

Least Common Multiple of 6832 and 6838

LCM of 6832 and 6838 is 23358608

Least common multiple can be found by multiplying the highest exponent prime factors of 6832 and 6838. First we will calculate the prime factors of 6832 and 6838.

Prime Factorization of 6832


2 6832
2 3416
2 1708
2 854
7 427
61 61
1

Prime factors of 6832 are 2, 7,61. Prime factorization of 6832 in exponential form is:

6832 = 24×71×611

Prime Factorization of 6838


2 6838
13 3419
263 263
1

Prime factors of 6838 are 2, 13,263. Prime factorization of 6838 in exponential form is:

6838 = 21×131×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 6832 and 6838.

LCM(6832,6838) = 24×71×131×611×2631
LCM(6832,6838) = 23358608

Factors of 6832

List of positive integer factors of 6832 that divides 6832 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832

Factors of 6838

List of positive integer factors of 6838 that divides 6838 without a remainder.

1, 2, 13, 26, 263, 526, 3419, 6838

Least Common Multiple of 6832 and 6838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6832 and 6838, than apply into the LCM equation.

GCF(6832,6838) = 2
LCM(6832,6838) = ( 6832 × 6838) / 2
LCM(6832,6838) = 46717216 / 2
LCM(6832,6838) = 23358608

Properties of LCM 6832 and 6838

(i) The LCM of 6838 and 6832 is associative

LCM of 6832 and 6838 = LCM of 6838 and 6832

Related Least Common Multiples of 6832

Related Least Common Multiples of 6838

Frequently Asked Questions on LCM of 6832 and 6838

1. What is the LCM of 6832 and 6838?

Answer: LCM of 6832 and 6838 is 23358608.

2. What are the Factors of 6832?

Answer: Factors of 6832 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832. There are 20 integers that are factors of 6832. The greatest factor of 6832 is 6832.

3. What are the Factors of 6838?

Answer: Factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838. There are 8 integers that are factors of 6838. The greatest factor of 6838 is 6838.

4. How to Find the LCM of 6832 and 6838?

Answer:

Least Common Multiple of 6832 and 6838 = 23358608

Step 1: Find the prime factorization of 6832

6832 = 2 x 2 x 2 x 2 x 7 x 61

Step 2: Find the prime factorization of 6838

6838 = 2 x 13 x 263

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

LCM = 23358608 = 2 x 2 x 2 x 2 x 7 x 13 x 61 x 263

Step 4: Therefore, the least common multiple of 6832 and 6838 is 23358608.