Least Common Multiple of 6824 and 6832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6824 and 6832 the smallest integer that is 5827696 that is divisible by both numbers.

Least Common Multiple (LCM) of 6824 and 6832 is 5827696.

LCM(6824,6832) = 5827696

LCM of 6824 and 6832

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

LCM of:
and

Least Common Multiple of 6824 and 6832

LCM of 6824 and 6832 is 5827696

Least common multiple can be found by multiplying the highest exponent prime factors of 6824 and 6832. First we will calculate the prime factors of 6824 and 6832.

Prime Factorization of 6824


2 6824
2 3412
2 1706
853 853
1

Prime factors of 6824 are 2,853. Prime factorization of 6824 in exponential form is:

6824 = 23×8531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6824 and 6832.

LCM(6824,6832) = 24×71×611×8531
LCM(6824,6832) = 5827696

Factors of 6824

List of positive integer factors of 6824 that divides 6824 without a remainder.

1, 2, 4, 8, 853, 1706, 3412, 6824

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

Least Common Multiple of 6824 and 6832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6824 and 6832, than apply into the LCM equation.

GCF(6824,6832) = 8
LCM(6824,6832) = ( 6824 × 6832) / 8
LCM(6824,6832) = 46621568 / 8
LCM(6824,6832) = 5827696

Properties of LCM 6824 and 6832

(i) The LCM of 6832 and 6824 is associative

LCM of 6824 and 6832 = LCM of 6832 and 6824

Related Least Common Multiples of 6824

Related Least Common Multiples of 6832

Frequently Asked Questions on LCM of 6824 and 6832

1. What is the LCM of 6824 and 6832?

Answer: LCM of 6824 and 6832 is 5827696.

2. What are the Factors of 6824?

Answer: Factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824. There are 8 integers that are factors of 6824. The greatest factor of 6824 is 6824.

3. 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.

4. How to Find the LCM of 6824 and 6832?

Answer:

Least Common Multiple of 6824 and 6832 = 5827696

Step 1: Find the prime factorization of 6824

6824 = 2 x 2 x 2 x 853

Step 2: Find the prime factorization of 6832

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

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

LCM = 5827696 = 2 x 2 x 2 x 2 x 7 x 61 x 853

Step 4: Therefore, the least common multiple of 6824 and 6832 is 5827696.