Least Common Multiple of 6812 and 6816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6812 and 6816 the smallest integer that is 11607648 that is divisible by both numbers.

Least Common Multiple (LCM) of 6812 and 6816 is 11607648.

LCM(6812,6816) = 11607648

LCM of 6812 and 6816

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

LCM of:
and

Least Common Multiple of 6812 and 6816

LCM of 6812 and 6816 is 11607648

Least common multiple can be found by multiplying the highest exponent prime factors of 6812 and 6816. First we will calculate the prime factors of 6812 and 6816.

Prime Factorization of 6812


2 6812
2 3406
13 1703
131 131
1

Prime factors of 6812 are 2, 13,131. Prime factorization of 6812 in exponential form is:

6812 = 22×131×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6812 and 6816.

LCM(6812,6816) = 25×31×131×711×1311
LCM(6812,6816) = 11607648

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812

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

Least Common Multiple of 6812 and 6816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6812 and 6816, than apply into the LCM equation.

GCF(6812,6816) = 4
LCM(6812,6816) = ( 6812 × 6816) / 4
LCM(6812,6816) = 46430592 / 4
LCM(6812,6816) = 11607648

Properties of LCM 6812 and 6816

(i) The LCM of 6816 and 6812 is associative

LCM of 6812 and 6816 = LCM of 6816 and 6812

Related Least Common Multiples of 6812

Related Least Common Multiples of 6816

Frequently Asked Questions on LCM of 6812 and 6816

1. What is the LCM of 6812 and 6816?

Answer: LCM of 6812 and 6816 is 11607648.

2. What are the Factors of 6812?

Answer: Factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812. There are 12 integers that are factors of 6812. The greatest factor of 6812 is 6812.

3. 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.

4. How to Find the LCM of 6812 and 6816?

Answer:

Least Common Multiple of 6812 and 6816 = 11607648

Step 1: Find the prime factorization of 6812

6812 = 2 x 2 x 13 x 131

Step 2: Find the prime factorization of 6816

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

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

LCM = 11607648 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 71 x 131

Step 4: Therefore, the least common multiple of 6812 and 6816 is 11607648.