Least Common Multiple of 6821 and 6829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6821 and 6829 the smallest integer that is 46580609 that is divisible by both numbers.

Least Common Multiple (LCM) of 6821 and 6829 is 46580609.

LCM(6821,6829) = 46580609

LCM of 6821 and 6829

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

LCM of:
and

Least Common Multiple of 6821 and 6829

LCM of 6821 and 6829 is 46580609

Least common multiple can be found by multiplying the highest exponent prime factors of 6821 and 6829. First we will calculate the prime factors of 6821 and 6829.

Prime Factorization of 6821


19 6821
359 359
1

Prime factors of 6821 are 19,359. Prime factorization of 6821 in exponential form is:

6821 = 191×3591

Prime Factorization of 6829


6829 6829
1

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

6829 = 68291

Now multiplying the highest exponent prime factors to calculate the LCM of 6821 and 6829.

LCM(6821,6829) = 191×3591×68291
LCM(6821,6829) = 46580609

Factors of 6821

List of positive integer factors of 6821 that divides 6821 without a remainder.

1, 19, 359, 6821

Factors of 6829

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

1, 6829

Least Common Multiple of 6821 and 6829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6821 and 6829, than apply into the LCM equation.

GCF(6821,6829) = 1
LCM(6821,6829) = ( 6821 × 6829) / 1
LCM(6821,6829) = 46580609 / 1
LCM(6821,6829) = 46580609

Properties of LCM 6821 and 6829

(i) The LCM of 6829 and 6821 is associative

LCM of 6821 and 6829 = LCM of 6829 and 6821

Related Least Common Multiples of 6821

Related Least Common Multiples of 6829

Frequently Asked Questions on LCM of 6821 and 6829

1. What is the LCM of 6821 and 6829?

Answer: LCM of 6821 and 6829 is 46580609.

2. What are the Factors of 6821?

Answer: Factors of 6821 are 1, 19, 359, 6821. There are 4 integers that are factors of 6821. The greatest factor of 6821 is 6821.

3. 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.

4. How to Find the LCM of 6821 and 6829?

Answer:

Least Common Multiple of 6821 and 6829 = 46580609

Step 1: Find the prime factorization of 6821

6821 = 19 x 359

Step 2: Find the prime factorization of 6829

6829 = 6829

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

LCM = 46580609 = 19 x 359 x 6829

Step 4: Therefore, the least common multiple of 6821 and 6829 is 46580609.