Least Common Multiple of 3825 and 3828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3825 and 3828 the smallest integer that is 4880700 that is divisible by both numbers.

Least Common Multiple (LCM) of 3825 and 3828 is 4880700.

LCM(3825,3828) = 4880700

LCM of 3825 and 3828

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

LCM of:
and

Least Common Multiple of 3825 and 3828

LCM of 3825 and 3828 is 4880700

Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3828. First we will calculate the prime factors of 3825 and 3828.

Prime Factorization of 3825


3 3825
3 1275
5 425
5 85
17 17
1

Prime factors of 3825 are 3, 5,17. Prime factorization of 3825 in exponential form is:

3825 = 32×52×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3828.

LCM(3825,3828) = 22×32×52×111×171×291
LCM(3825,3828) = 4880700

Factors of 3825

List of positive integer factors of 3825 that divides 3825 without a remainder.

1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825

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

Least Common Multiple of 3825 and 3828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3825 and 3828, than apply into the LCM equation.

GCF(3825,3828) = 3
LCM(3825,3828) = ( 3825 × 3828) / 3
LCM(3825,3828) = 14642100 / 3
LCM(3825,3828) = 4880700

Properties of LCM 3825 and 3828

(i) The LCM of 3828 and 3825 is associative

LCM of 3825 and 3828 = LCM of 3828 and 3825

Related Least Common Multiples of 3825

Related Least Common Multiples of 3828

Frequently Asked Questions on LCM of 3825 and 3828

1. What is the LCM of 3825 and 3828?

Answer: LCM of 3825 and 3828 is 4880700.

2. What are the Factors of 3825?

Answer: Factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825. There are 18 integers that are factors of 3825. The greatest factor of 3825 is 3825.

3. 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.

4. How to Find the LCM of 3825 and 3828?

Answer:

Least Common Multiple of 3825 and 3828 = 4880700

Step 1: Find the prime factorization of 3825

3825 = 3 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 3828

3828 = 2 x 2 x 3 x 11 x 29

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

LCM = 4880700 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 17 x 29

Step 4: Therefore, the least common multiple of 3825 and 3828 is 4880700.