Least Common Multiple of 6816 and 6817

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 6817 the smallest integer that is 46464672 that is divisible by both numbers.

Least Common Multiple (LCM) of 6816 and 6817 is 46464672.

LCM(6816,6817) = 46464672

LCM of 6816 and 6817

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

LCM of:
and

Least Common Multiple of 6816 and 6817

LCM of 6816 and 6817 is 46464672

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6817. First we will calculate the prime factors of 6816 and 6817.

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 6817


17 6817
401 401
1

Prime factors of 6817 are 17,401. Prime factorization of 6817 in exponential form is:

6817 = 171×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 6816 and 6817.

LCM(6816,6817) = 25×31×171×711×4011
LCM(6816,6817) = 46464672

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 6817

List of positive integer factors of 6817 that divides 6817 without a remainder.

1, 17, 401, 6817

Least Common Multiple of 6816 and 6817 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 6817, than apply into the LCM equation.

GCF(6816,6817) = 1
LCM(6816,6817) = ( 6816 × 6817) / 1
LCM(6816,6817) = 46464672 / 1
LCM(6816,6817) = 46464672

Properties of LCM 6816 and 6817

(i) The LCM of 6817 and 6816 is associative

LCM of 6816 and 6817 = LCM of 6817 and 6816

Related Least Common Multiples of 6816

Related Least Common Multiples of 6817

Frequently Asked Questions on LCM of 6816 and 6817

1. What is the LCM of 6816 and 6817?

Answer: LCM of 6816 and 6817 is 46464672.

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 6817?

Answer: Factors of 6817 are 1, 17, 401, 6817. There are 4 integers that are factors of 6817. The greatest factor of 6817 is 6817.

4. How to Find the LCM of 6816 and 6817?

Answer:

Least Common Multiple of 6816 and 6817 = 46464672

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 6817

6817 = 17 x 401

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

LCM = 46464672 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 71 x 401

Step 4: Therefore, the least common multiple of 6816 and 6817 is 46464672.