Least Common Multiple of 6816 and 6823

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 6823 the smallest integer that is 46505568 that is divisible by both numbers.

Least Common Multiple (LCM) of 6816 and 6823 is 46505568.

LCM(6816,6823) = 46505568

LCM of 6816 and 6823

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

LCM of:
and

Least Common Multiple of 6816 and 6823

LCM of 6816 and 6823 is 46505568

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6823. First we will calculate the prime factors of 6816 and 6823.

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 6823


6823 6823
1

Prime factors of 6823 are 6823. Prime factorization of 6823 in exponential form is:

6823 = 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 6816 and 6823.

LCM(6816,6823) = 25×31×711×68231
LCM(6816,6823) = 46505568

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 6823

List of positive integer factors of 6823 that divides 6823 without a remainder.

1, 6823

Least Common Multiple of 6816 and 6823 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 6823, than apply into the LCM equation.

GCF(6816,6823) = 1
LCM(6816,6823) = ( 6816 × 6823) / 1
LCM(6816,6823) = 46505568 / 1
LCM(6816,6823) = 46505568

Properties of LCM 6816 and 6823

(i) The LCM of 6823 and 6816 is associative

LCM of 6816 and 6823 = LCM of 6823 and 6816

Related Least Common Multiples of 6816

Related Least Common Multiples of 6823

Frequently Asked Questions on LCM of 6816 and 6823

1. What is the LCM of 6816 and 6823?

Answer: LCM of 6816 and 6823 is 46505568.

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 6823?

Answer: Factors of 6823 are 1, 6823. There are 2 integers that are factors of 6823. The greatest factor of 6823 is 6823.

4. How to Find the LCM of 6816 and 6823?

Answer:

Least Common Multiple of 6816 and 6823 = 46505568

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 6823

6823 = 6823

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

LCM = 46505568 = 2 x 2 x 2 x 2 x 2 x 3 x 71 x 6823

Step 4: Therefore, the least common multiple of 6816 and 6823 is 46505568.