Least Common Multiple of 3819 and 3825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3819 and 3825 the smallest integer that is 4869225 that is divisible by both numbers.

Least Common Multiple (LCM) of 3819 and 3825 is 4869225.

LCM(3819,3825) = 4869225

LCM of 3819 and 3825

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

LCM of:
and

Least Common Multiple of 3819 and 3825

LCM of 3819 and 3825 is 4869225

Least common multiple can be found by multiplying the highest exponent prime factors of 3819 and 3825. First we will calculate the prime factors of 3819 and 3825.

Prime Factorization of 3819


3 3819
19 1273
67 67
1

Prime factors of 3819 are 3, 19,67. Prime factorization of 3819 in exponential form is:

3819 = 31×191×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3819 and 3825.

LCM(3819,3825) = 32×52×171×191×671
LCM(3819,3825) = 4869225

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1, 3, 19, 57, 67, 201, 1273, 3819

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

Least Common Multiple of 3819 and 3825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3819 and 3825, than apply into the LCM equation.

GCF(3819,3825) = 3
LCM(3819,3825) = ( 3819 × 3825) / 3
LCM(3819,3825) = 14607675 / 3
LCM(3819,3825) = 4869225

Properties of LCM 3819 and 3825

(i) The LCM of 3825 and 3819 is associative

LCM of 3819 and 3825 = LCM of 3825 and 3819

Related Least Common Multiples of 3819

Related Least Common Multiples of 3825

Frequently Asked Questions on LCM of 3819 and 3825

1. What is the LCM of 3819 and 3825?

Answer: LCM of 3819 and 3825 is 4869225.

2. What are the Factors of 3819?

Answer: Factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819. There are 8 integers that are factors of 3819. The greatest factor of 3819 is 3819.

3. 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.

4. How to Find the LCM of 3819 and 3825?

Answer:

Least Common Multiple of 3819 and 3825 = 4869225

Step 1: Find the prime factorization of 3819

3819 = 3 x 19 x 67

Step 2: Find the prime factorization of 3825

3825 = 3 x 3 x 5 x 5 x 17

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

LCM = 4869225 = 3 x 3 x 5 x 5 x 17 x 19 x 67

Step 4: Therefore, the least common multiple of 3819 and 3825 is 4869225.