Least Common Multiple of 6832 and 6836

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 6836 the smallest integer that is 11675888 that is divisible by both numbers.

Least Common Multiple (LCM) of 6832 and 6836 is 11675888.

LCM(6832,6836) = 11675888

LCM of 6832 and 6836

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

LCM of:
and

Least Common Multiple of 6832 and 6836

LCM of 6832 and 6836 is 11675888

Least common multiple can be found by multiplying the highest exponent prime factors of 6832 and 6836. First we will calculate the prime factors of 6832 and 6836.

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 6836


2 6836
2 3418
1709 1709
1

Prime factors of 6836 are 2,1709. Prime factorization of 6836 in exponential form is:

6836 = 22×17091

Now multiplying the highest exponent prime factors to calculate the LCM of 6832 and 6836.

LCM(6832,6836) = 24×71×611×17091
LCM(6832,6836) = 11675888

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 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1, 2, 4, 1709, 3418, 6836

Least Common Multiple of 6832 and 6836 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 6836, than apply into the LCM equation.

GCF(6832,6836) = 4
LCM(6832,6836) = ( 6832 × 6836) / 4
LCM(6832,6836) = 46703552 / 4
LCM(6832,6836) = 11675888

Properties of LCM 6832 and 6836

(i) The LCM of 6836 and 6832 is associative

LCM of 6832 and 6836 = LCM of 6836 and 6832

Related Least Common Multiples of 6832

Related Least Common Multiples of 6836

Frequently Asked Questions on LCM of 6832 and 6836

1. What is the LCM of 6832 and 6836?

Answer: LCM of 6832 and 6836 is 11675888.

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 6836?

Answer: Factors of 6836 are 1, 2, 4, 1709, 3418, 6836. There are 6 integers that are factors of 6836. The greatest factor of 6836 is 6836.

4. How to Find the LCM of 6832 and 6836?

Answer:

Least Common Multiple of 6832 and 6836 = 11675888

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 6836

6836 = 2 x 2 x 1709

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

LCM = 11675888 = 2 x 2 x 2 x 2 x 7 x 61 x 1709

Step 4: Therefore, the least common multiple of 6832 and 6836 is 11675888.