Least Common Multiple of 6824 and 6830

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 6830 the smallest integer that is 23303960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6824 and 6830 is 23303960.

LCM(6824,6830) = 23303960

LCM of 6824 and 6830

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

LCM of:
and

Least Common Multiple of 6824 and 6830

LCM of 6824 and 6830 is 23303960

Least common multiple can be found by multiplying the highest exponent prime factors of 6824 and 6830. First we will calculate the prime factors of 6824 and 6830.

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 6830


2 6830
5 3415
683 683
1

Prime factors of 6830 are 2, 5,683. Prime factorization of 6830 in exponential form is:

6830 = 21×51×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 6824 and 6830.

LCM(6824,6830) = 23×51×6831×8531
LCM(6824,6830) = 23303960

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 6830

List of positive integer factors of 6830 that divides 6830 without a remainder.

1, 2, 5, 10, 683, 1366, 3415, 6830

Least Common Multiple of 6824 and 6830 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 6830, than apply into the LCM equation.

GCF(6824,6830) = 2
LCM(6824,6830) = ( 6824 × 6830) / 2
LCM(6824,6830) = 46607920 / 2
LCM(6824,6830) = 23303960

Properties of LCM 6824 and 6830

(i) The LCM of 6830 and 6824 is associative

LCM of 6824 and 6830 = LCM of 6830 and 6824

Related Least Common Multiples of 6824

Related Least Common Multiples of 6830

Frequently Asked Questions on LCM of 6824 and 6830

1. What is the LCM of 6824 and 6830?

Answer: LCM of 6824 and 6830 is 23303960.

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 6830?

Answer: Factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830. There are 8 integers that are factors of 6830. The greatest factor of 6830 is 6830.

4. How to Find the LCM of 6824 and 6830?

Answer:

Least Common Multiple of 6824 and 6830 = 23303960

Step 1: Find the prime factorization of 6824

6824 = 2 x 2 x 2 x 853

Step 2: Find the prime factorization of 6830

6830 = 2 x 5 x 683

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

LCM = 23303960 = 2 x 2 x 2 x 5 x 683 x 853

Step 4: Therefore, the least common multiple of 6824 and 6830 is 23303960.