Least Common Multiple of 3825 and 3832

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 3832 the smallest integer that is 14657400 that is divisible by both numbers.

Least Common Multiple (LCM) of 3825 and 3832 is 14657400.

LCM(3825,3832) = 14657400

LCM of 3825 and 3832

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

LCM of:
and

Least Common Multiple of 3825 and 3832

LCM of 3825 and 3832 is 14657400

Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3832. First we will calculate the prime factors of 3825 and 3832.

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 3832


2 3832
2 1916
2 958
479 479
1

Prime factors of 3832 are 2,479. Prime factorization of 3832 in exponential form is:

3832 = 23×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3832.

LCM(3825,3832) = 23×32×52×171×4791
LCM(3825,3832) = 14657400

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 3832

List of positive integer factors of 3832 that divides 3832 without a remainder.

1, 2, 4, 8, 479, 958, 1916, 3832

Least Common Multiple of 3825 and 3832 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 3832, than apply into the LCM equation.

GCF(3825,3832) = 1
LCM(3825,3832) = ( 3825 × 3832) / 1
LCM(3825,3832) = 14657400 / 1
LCM(3825,3832) = 14657400

Properties of LCM 3825 and 3832

(i) The LCM of 3832 and 3825 is associative

LCM of 3825 and 3832 = LCM of 3832 and 3825

Related Least Common Multiples of 3825

Related Least Common Multiples of 3832

Frequently Asked Questions on LCM of 3825 and 3832

1. What is the LCM of 3825 and 3832?

Answer: LCM of 3825 and 3832 is 14657400.

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 3832?

Answer: Factors of 3832 are 1, 2, 4, 8, 479, 958, 1916, 3832. There are 8 integers that are factors of 3832. The greatest factor of 3832 is 3832.

4. How to Find the LCM of 3825 and 3832?

Answer:

Least Common Multiple of 3825 and 3832 = 14657400

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 3832

3832 = 2 x 2 x 2 x 479

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

LCM = 14657400 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 479

Step 4: Therefore, the least common multiple of 3825 and 3832 is 14657400.