Least Common Multiple of 6809 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 6809 and 6816 the smallest integer that is 46410144 that is divisible by both numbers.

Least Common Multiple (LCM) of 6809 and 6816 is 46410144.

LCM(6809,6816) = 46410144

LCM of 6809 and 6816

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

LCM of:
and

Least Common Multiple of 6809 and 6816

LCM of 6809 and 6816 is 46410144

Least common multiple can be found by multiplying the highest exponent prime factors of 6809 and 6816. First we will calculate the prime factors of 6809 and 6816.

Prime Factorization of 6809


11 6809
619 619
1

Prime factors of 6809 are 11,619. Prime factorization of 6809 in exponential form is:

6809 = 111×6191

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 6809 and 6816.

LCM(6809,6816) = 25×31×111×711×6191
LCM(6809,6816) = 46410144

Factors of 6809

List of positive integer factors of 6809 that divides 6809 without a remainder.

1, 11, 619, 6809

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 6809 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 6809 and 6816, than apply into the LCM equation.

GCF(6809,6816) = 1
LCM(6809,6816) = ( 6809 × 6816) / 1
LCM(6809,6816) = 46410144 / 1
LCM(6809,6816) = 46410144

Properties of LCM 6809 and 6816

(i) The LCM of 6816 and 6809 is associative

LCM of 6809 and 6816 = LCM of 6816 and 6809

Related Least Common Multiples of 6809

Related Least Common Multiples of 6816

Frequently Asked Questions on LCM of 6809 and 6816

1. What is the LCM of 6809 and 6816?

Answer: LCM of 6809 and 6816 is 46410144.

2. What are the Factors of 6809?

Answer: Factors of 6809 are 1, 11, 619, 6809. There are 4 integers that are factors of 6809. The greatest factor of 6809 is 6809.

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 6809 and 6816?

Answer:

Least Common Multiple of 6809 and 6816 = 46410144

Step 1: Find the prime factorization of 6809

6809 = 11 x 619

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 = 46410144 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 71 x 619

Step 4: Therefore, the least common multiple of 6809 and 6816 is 46410144.