Least Common Multiple of 3825 and 3833

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 3833 the smallest integer that is 14661225 that is divisible by both numbers.

Least Common Multiple (LCM) of 3825 and 3833 is 14661225.

LCM(3825,3833) = 14661225

LCM of 3825 and 3833

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

LCM of:
and

Least Common Multiple of 3825 and 3833

LCM of 3825 and 3833 is 14661225

Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3833. First we will calculate the prime factors of 3825 and 3833.

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 3833


3833 3833
1

Prime factors of 3833 are 3833. Prime factorization of 3833 in exponential form is:

3833 = 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3833.

LCM(3825,3833) = 32×52×171×38331
LCM(3825,3833) = 14661225

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 3833

List of positive integer factors of 3833 that divides 3833 without a remainder.

1, 3833

Least Common Multiple of 3825 and 3833 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 3833, than apply into the LCM equation.

GCF(3825,3833) = 1
LCM(3825,3833) = ( 3825 × 3833) / 1
LCM(3825,3833) = 14661225 / 1
LCM(3825,3833) = 14661225

Properties of LCM 3825 and 3833

(i) The LCM of 3833 and 3825 is associative

LCM of 3825 and 3833 = LCM of 3833 and 3825

Related Least Common Multiples of 3825

Related Least Common Multiples of 3833

Frequently Asked Questions on LCM of 3825 and 3833

1. What is the LCM of 3825 and 3833?

Answer: LCM of 3825 and 3833 is 14661225.

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 3833?

Answer: Factors of 3833 are 1, 3833. There are 2 integers that are factors of 3833. The greatest factor of 3833 is 3833.

4. How to Find the LCM of 3825 and 3833?

Answer:

Least Common Multiple of 3825 and 3833 = 14661225

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 3833

3833 = 3833

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

LCM = 14661225 = 3 x 3 x 5 x 5 x 17 x 3833

Step 4: Therefore, the least common multiple of 3825 and 3833 is 14661225.