Least Common Multiple of 6816 and 6822

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 6822 the smallest integer that is 7749792 that is divisible by both numbers.

Least Common Multiple (LCM) of 6816 and 6822 is 7749792.

LCM(6816,6822) = 7749792

LCM of 6816 and 6822

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

LCM of:
and

Least Common Multiple of 6816 and 6822

LCM of 6816 and 6822 is 7749792

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6822. First we will calculate the prime factors of 6816 and 6822.

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 6822


2 6822
3 3411
3 1137
379 379
1

Prime factors of 6822 are 2, 3,379. Prime factorization of 6822 in exponential form is:

6822 = 21×32×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 6816 and 6822.

LCM(6816,6822) = 25×32×711×3791
LCM(6816,6822) = 7749792

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 6822

List of positive integer factors of 6822 that divides 6822 without a remainder.

1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822

Least Common Multiple of 6816 and 6822 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 6822, than apply into the LCM equation.

GCF(6816,6822) = 6
LCM(6816,6822) = ( 6816 × 6822) / 6
LCM(6816,6822) = 46498752 / 6
LCM(6816,6822) = 7749792

Properties of LCM 6816 and 6822

(i) The LCM of 6822 and 6816 is associative

LCM of 6816 and 6822 = LCM of 6822 and 6816

Related Least Common Multiples of 6816

Related Least Common Multiples of 6822

Frequently Asked Questions on LCM of 6816 and 6822

1. What is the LCM of 6816 and 6822?

Answer: LCM of 6816 and 6822 is 7749792.

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 6822?

Answer: Factors of 6822 are 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822. There are 12 integers that are factors of 6822. The greatest factor of 6822 is 6822.

4. How to Find the LCM of 6816 and 6822?

Answer:

Least Common Multiple of 6816 and 6822 = 7749792

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 6822

6822 = 2 x 3 x 3 x 379

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

LCM = 7749792 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 71 x 379

Step 4: Therefore, the least common multiple of 6816 and 6822 is 7749792.