Least Common Multiple of 6821 and 6828

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 6828 the smallest integer that is 46573788 that is divisible by both numbers.

Least Common Multiple (LCM) of 6821 and 6828 is 46573788.

LCM(6821,6828) = 46573788

LCM of 6821 and 6828

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

LCM of:
and

Least Common Multiple of 6821 and 6828

LCM of 6821 and 6828 is 46573788

Least common multiple can be found by multiplying the highest exponent prime factors of 6821 and 6828. First we will calculate the prime factors of 6821 and 6828.

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 6828


2 6828
2 3414
3 1707
569 569
1

Prime factors of 6828 are 2, 3,569. Prime factorization of 6828 in exponential form is:

6828 = 22×31×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 6821 and 6828.

LCM(6821,6828) = 22×31×191×3591×5691
LCM(6821,6828) = 46573788

Factors of 6821

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

1, 19, 359, 6821

Factors of 6828

List of positive integer factors of 6828 that divides 6828 without a remainder.

1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

Least Common Multiple of 6821 and 6828 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 6828, than apply into the LCM equation.

GCF(6821,6828) = 1
LCM(6821,6828) = ( 6821 × 6828) / 1
LCM(6821,6828) = 46573788 / 1
LCM(6821,6828) = 46573788

Properties of LCM 6821 and 6828

(i) The LCM of 6828 and 6821 is associative

LCM of 6821 and 6828 = LCM of 6828 and 6821

Related Least Common Multiples of 6821

Related Least Common Multiples of 6828

Frequently Asked Questions on LCM of 6821 and 6828

1. What is the LCM of 6821 and 6828?

Answer: LCM of 6821 and 6828 is 46573788.

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 6828?

Answer: Factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828. There are 12 integers that are factors of 6828. The greatest factor of 6828 is 6828.

4. How to Find the LCM of 6821 and 6828?

Answer:

Least Common Multiple of 6821 and 6828 = 46573788

Step 1: Find the prime factorization of 6821

6821 = 19 x 359

Step 2: Find the prime factorization of 6828

6828 = 2 x 2 x 3 x 569

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

LCM = 46573788 = 2 x 2 x 3 x 19 x 359 x 569

Step 4: Therefore, the least common multiple of 6821 and 6828 is 46573788.