Least Common Multiple of 3828 and 3829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3828 and 3829 the smallest integer that is 14657412 that is divisible by both numbers.

Least Common Multiple (LCM) of 3828 and 3829 is 14657412.

LCM(3828,3829) = 14657412

LCM of 3828 and 3829

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

LCM of:
and

Least Common Multiple of 3828 and 3829

LCM of 3828 and 3829 is 14657412

Least common multiple can be found by multiplying the highest exponent prime factors of 3828 and 3829. First we will calculate the prime factors of 3828 and 3829.

Prime Factorization of 3828


2 3828
2 1914
3 957
11 319
29 29
1

Prime factors of 3828 are 2, 3, 11,29. Prime factorization of 3828 in exponential form is:

3828 = 22×31×111×291

Prime Factorization of 3829


7 3829
547 547
1

Prime factors of 3829 are 7,547. Prime factorization of 3829 in exponential form is:

3829 = 71×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 3828 and 3829.

LCM(3828,3829) = 22×31×71×111×291×5471
LCM(3828,3829) = 14657412

Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1, 7, 547, 3829

Least Common Multiple of 3828 and 3829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3828 and 3829, than apply into the LCM equation.

GCF(3828,3829) = 1
LCM(3828,3829) = ( 3828 × 3829) / 1
LCM(3828,3829) = 14657412 / 1
LCM(3828,3829) = 14657412

Properties of LCM 3828 and 3829

(i) The LCM of 3829 and 3828 is associative

LCM of 3828 and 3829 = LCM of 3829 and 3828

Related Least Common Multiples of 3828

Related Least Common Multiples of 3829

Frequently Asked Questions on LCM of 3828 and 3829

1. What is the LCM of 3828 and 3829?

Answer: LCM of 3828 and 3829 is 14657412.

2. What are the Factors of 3828?

Answer: Factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828. There are 24 integers that are factors of 3828. The greatest factor of 3828 is 3828.

3. What are the Factors of 3829?

Answer: Factors of 3829 are 1, 7, 547, 3829. There are 4 integers that are factors of 3829. The greatest factor of 3829 is 3829.

4. How to Find the LCM of 3828 and 3829?

Answer:

Least Common Multiple of 3828 and 3829 = 14657412

Step 1: Find the prime factorization of 3828

3828 = 2 x 2 x 3 x 11 x 29

Step 2: Find the prime factorization of 3829

3829 = 7 x 547

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

LCM = 14657412 = 2 x 2 x 3 x 7 x 11 x 29 x 547

Step 4: Therefore, the least common multiple of 3828 and 3829 is 14657412.