Least Common Multiple of 6828 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 6828 and 6832 the smallest integer that is 11662224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6828 and 6832 is 11662224.

LCM(6828,6832) = 11662224

LCM of 6828 and 6832

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

LCM of:
and

Least Common Multiple of 6828 and 6832

LCM of 6828 and 6832 is 11662224

Least common multiple can be found by multiplying the highest exponent prime factors of 6828 and 6832. First we will calculate the prime factors of 6828 and 6832.

Prime Factorization of 6828


2 6828
2 3414
3 1707
569 569
1

Prime factors of 6828 are 2, 3,569. Prime factorization of 6828 in exponential form is:

6828 = 22×31×5691

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 6828 and 6832.

LCM(6828,6832) = 24×31×71×611×5691
LCM(6828,6832) = 11662224

Factors of 6828

List of positive integer factors of 6828 that divides 6828 without a remainder.

1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

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 6828 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 6828 and 6832, than apply into the LCM equation.

GCF(6828,6832) = 4
LCM(6828,6832) = ( 6828 × 6832) / 4
LCM(6828,6832) = 46648896 / 4
LCM(6828,6832) = 11662224

Properties of LCM 6828 and 6832

(i) The LCM of 6832 and 6828 is associative

LCM of 6828 and 6832 = LCM of 6832 and 6828

Related Least Common Multiples of 6828

Related Least Common Multiples of 6832

Frequently Asked Questions on LCM of 6828 and 6832

1. What is the LCM of 6828 and 6832?

Answer: LCM of 6828 and 6832 is 11662224.

2. What are the Factors of 6828?

Answer: Factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828. There are 12 integers that are factors of 6828. The greatest factor of 6828 is 6828.

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 6828 and 6832?

Answer:

Least Common Multiple of 6828 and 6832 = 11662224

Step 1: Find the prime factorization of 6828

6828 = 2 x 2 x 3 x 569

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 = 11662224 = 2 x 2 x 2 x 2 x 3 x 7 x 61 x 569

Step 4: Therefore, the least common multiple of 6828 and 6832 is 11662224.