Least Common Multiple of 3825 and 3830

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 3830 the smallest integer that is 2929950 that is divisible by both numbers.

Least Common Multiple (LCM) of 3825 and 3830 is 2929950.

LCM(3825,3830) = 2929950

LCM of 3825 and 3830

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

LCM of:
and

Least Common Multiple of 3825 and 3830

LCM of 3825 and 3830 is 2929950

Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3830. First we will calculate the prime factors of 3825 and 3830.

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 3830


2 3830
5 1915
383 383
1

Prime factors of 3830 are 2, 5,383. Prime factorization of 3830 in exponential form is:

3830 = 21×51×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3830.

LCM(3825,3830) = 21×32×52×171×3831
LCM(3825,3830) = 2929950

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 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1, 2, 5, 10, 383, 766, 1915, 3830

Least Common Multiple of 3825 and 3830 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 3830, than apply into the LCM equation.

GCF(3825,3830) = 5
LCM(3825,3830) = ( 3825 × 3830) / 5
LCM(3825,3830) = 14649750 / 5
LCM(3825,3830) = 2929950

Properties of LCM 3825 and 3830

(i) The LCM of 3830 and 3825 is associative

LCM of 3825 and 3830 = LCM of 3830 and 3825

Related Least Common Multiples of 3825

Related Least Common Multiples of 3830

Frequently Asked Questions on LCM of 3825 and 3830

1. What is the LCM of 3825 and 3830?

Answer: LCM of 3825 and 3830 is 2929950.

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 3830?

Answer: Factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830. There are 8 integers that are factors of 3830. The greatest factor of 3830 is 3830.

4. How to Find the LCM of 3825 and 3830?

Answer:

Least Common Multiple of 3825 and 3830 = 2929950

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 3830

3830 = 2 x 5 x 383

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

LCM = 2929950 = 2 x 3 x 3 x 5 x 5 x 17 x 383

Step 4: Therefore, the least common multiple of 3825 and 3830 is 2929950.