Least Common Multiple of 6829 and 6833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6829 and 6833 the smallest integer that is 46662557 that is divisible by both numbers.

Least Common Multiple (LCM) of 6829 and 6833 is 46662557.

LCM(6829,6833) = 46662557

LCM of 6829 and 6833

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

LCM of:
and

Least Common Multiple of 6829 and 6833

LCM of 6829 and 6833 is 46662557

Least common multiple can be found by multiplying the highest exponent prime factors of 6829 and 6833. First we will calculate the prime factors of 6829 and 6833.

Prime Factorization of 6829


6829 6829
1

Prime factors of 6829 are 6829. Prime factorization of 6829 in exponential form is:

6829 = 68291

Prime Factorization of 6833


6833 6833
1

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

6833 = 68331

Now multiplying the highest exponent prime factors to calculate the LCM of 6829 and 6833.

LCM(6829,6833) = 68291×68331
LCM(6829,6833) = 46662557

Factors of 6829

List of positive integer factors of 6829 that divides 6829 without a remainder.

1, 6829

Factors of 6833

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

1, 6833

Least Common Multiple of 6829 and 6833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6829 and 6833, than apply into the LCM equation.

GCF(6829,6833) = 1
LCM(6829,6833) = ( 6829 × 6833) / 1
LCM(6829,6833) = 46662557 / 1
LCM(6829,6833) = 46662557

Properties of LCM 6829 and 6833

(i) The LCM of 6833 and 6829 is associative

LCM of 6829 and 6833 = LCM of 6833 and 6829

Related Least Common Multiples of 6829

Related Least Common Multiples of 6833

Frequently Asked Questions on LCM of 6829 and 6833

1. What is the LCM of 6829 and 6833?

Answer: LCM of 6829 and 6833 is 46662557.

2. What are the Factors of 6829?

Answer: Factors of 6829 are 1, 6829. There are 2 integers that are factors of 6829. The greatest factor of 6829 is 6829.

3. 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.

4. How to Find the LCM of 6829 and 6833?

Answer:

Least Common Multiple of 6829 and 6833 = 46662557

Step 1: Find the prime factorization of 6829

6829 = 6829

Step 2: Find the prime factorization of 6833

6833 = 6833

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

LCM = 46662557 = 6829 x 6833

Step 4: Therefore, the least common multiple of 6829 and 6833 is 46662557.