Least Common Multiple of 3828 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 3828 and 3832 the smallest integer that is 3667224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3828 and 3832 is 3667224.

LCM(3828,3832) = 3667224

LCM of 3828 and 3832

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

LCM of:
and

Least Common Multiple of 3828 and 3832

LCM of 3828 and 3832 is 3667224

Least common multiple can be found by multiplying the highest exponent prime factors of 3828 and 3832. First we will calculate the prime factors of 3828 and 3832.

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

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 3828 and 3832.

LCM(3828,3832) = 23×31×111×291×4791
LCM(3828,3832) = 3667224

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

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 3828 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 3828 and 3832, than apply into the LCM equation.

GCF(3828,3832) = 4
LCM(3828,3832) = ( 3828 × 3832) / 4
LCM(3828,3832) = 14668896 / 4
LCM(3828,3832) = 3667224

Properties of LCM 3828 and 3832

(i) The LCM of 3832 and 3828 is associative

LCM of 3828 and 3832 = LCM of 3832 and 3828

Related Least Common Multiples of 3828

Related Least Common Multiples of 3832

Frequently Asked Questions on LCM of 3828 and 3832

1. What is the LCM of 3828 and 3832?

Answer: LCM of 3828 and 3832 is 3667224.

2. 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.

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 3828 and 3832?

Answer:

Least Common Multiple of 3828 and 3832 = 3667224

Step 1: Find the prime factorization of 3828

3828 = 2 x 2 x 3 x 11 x 29

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 = 3667224 = 2 x 2 x 2 x 3 x 11 x 29 x 479

Step 4: Therefore, the least common multiple of 3828 and 3832 is 3667224.