Least Common Multiple of 6833 and 6836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6833 and 6836 the smallest integer that is 46710388 that is divisible by both numbers.

Least Common Multiple (LCM) of 6833 and 6836 is 46710388.

LCM(6833,6836) = 46710388

LCM of 6833 and 6836

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

LCM of:
and

Least Common Multiple of 6833 and 6836

LCM of 6833 and 6836 is 46710388

Least common multiple can be found by multiplying the highest exponent prime factors of 6833 and 6836. First we will calculate the prime factors of 6833 and 6836.

Prime Factorization of 6833


6833 6833
1

Prime factors of 6833 are 6833. Prime factorization of 6833 in exponential form is:

6833 = 68331

Prime Factorization of 6836


2 6836
2 3418
1709 1709
1

Prime factors of 6836 are 2,1709. Prime factorization of 6836 in exponential form is:

6836 = 22×17091

Now multiplying the highest exponent prime factors to calculate the LCM of 6833 and 6836.

LCM(6833,6836) = 22×17091×68331
LCM(6833,6836) = 46710388

Factors of 6833

List of positive integer factors of 6833 that divides 6833 without a remainder.

1, 6833

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1, 2, 4, 1709, 3418, 6836

Least Common Multiple of 6833 and 6836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6833 and 6836, than apply into the LCM equation.

GCF(6833,6836) = 1
LCM(6833,6836) = ( 6833 × 6836) / 1
LCM(6833,6836) = 46710388 / 1
LCM(6833,6836) = 46710388

Properties of LCM 6833 and 6836

(i) The LCM of 6836 and 6833 is associative

LCM of 6833 and 6836 = LCM of 6836 and 6833

Related Least Common Multiples of 6833

Related Least Common Multiples of 6836

Frequently Asked Questions on LCM of 6833 and 6836

1. What is the LCM of 6833 and 6836?

Answer: LCM of 6833 and 6836 is 46710388.

2. What are the Factors of 6833?

Answer: Factors of 6833 are 1, 6833. There are 2 integers that are factors of 6833. The greatest factor of 6833 is 6833.

3. What are the Factors of 6836?

Answer: Factors of 6836 are 1, 2, 4, 1709, 3418, 6836. There are 6 integers that are factors of 6836. The greatest factor of 6836 is 6836.

4. How to Find the LCM of 6833 and 6836?

Answer:

Least Common Multiple of 6833 and 6836 = 46710388

Step 1: Find the prime factorization of 6833

6833 = 6833

Step 2: Find the prime factorization of 6836

6836 = 2 x 2 x 1709

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

LCM = 46710388 = 2 x 2 x 1709 x 6833

Step 4: Therefore, the least common multiple of 6833 and 6836 is 46710388.