Least Common Multiple of 6816 and 6824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6816 and 6824 the smallest integer that is 5814048 that is divisible by both numbers.

Least Common Multiple (LCM) of 6816 and 6824 is 5814048.

LCM(6816,6824) = 5814048

LCM of 6816 and 6824

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

LCM of:
and

Least Common Multiple of 6816 and 6824

LCM of 6816 and 6824 is 5814048

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6824. First we will calculate the prime factors of 6816 and 6824.

Prime Factorization of 6816


2 6816
2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 6816 are 2, 3,71. Prime factorization of 6816 in exponential form is:

6816 = 25×31×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6816 and 6824.

LCM(6816,6824) = 25×31×711×8531
LCM(6816,6824) = 5814048

Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816

Factors of 6824

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

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

Least Common Multiple of 6816 and 6824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6816 and 6824, than apply into the LCM equation.

GCF(6816,6824) = 8
LCM(6816,6824) = ( 6816 × 6824) / 8
LCM(6816,6824) = 46512384 / 8
LCM(6816,6824) = 5814048

Properties of LCM 6816 and 6824

(i) The LCM of 6824 and 6816 is associative

LCM of 6816 and 6824 = LCM of 6824 and 6816

Related Least Common Multiples of 6816

Related Least Common Multiples of 6824

Frequently Asked Questions on LCM of 6816 and 6824

1. What is the LCM of 6816 and 6824?

Answer: LCM of 6816 and 6824 is 5814048.

2. What are the Factors of 6816?

Answer: Factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816. There are 24 integers that are factors of 6816. The greatest factor of 6816 is 6816.

3. 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.

4. How to Find the LCM of 6816 and 6824?

Answer:

Least Common Multiple of 6816 and 6824 = 5814048

Step 1: Find the prime factorization of 6816

6816 = 2 x 2 x 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 6824

6824 = 2 x 2 x 2 x 853

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

LCM = 5814048 = 2 x 2 x 2 x 2 x 2 x 3 x 71 x 853

Step 4: Therefore, the least common multiple of 6816 and 6824 is 5814048.