Least Common Multiple of 3828 and 3834

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 3834 the smallest integer that is 2446092 that is divisible by both numbers.

Least Common Multiple (LCM) of 3828 and 3834 is 2446092.

LCM(3828,3834) = 2446092

LCM of 3828 and 3834

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

LCM of:
and

Least Common Multiple of 3828 and 3834

LCM of 3828 and 3834 is 2446092

Least common multiple can be found by multiplying the highest exponent prime factors of 3828 and 3834. First we will calculate the prime factors of 3828 and 3834.

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 3834


2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 3834 are 2, 3,71. Prime factorization of 3834 in exponential form is:

3834 = 21×33×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3828 and 3834.

LCM(3828,3834) = 22×33×111×291×711
LCM(3828,3834) = 2446092

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 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834

Least Common Multiple of 3828 and 3834 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 3834, than apply into the LCM equation.

GCF(3828,3834) = 6
LCM(3828,3834) = ( 3828 × 3834) / 6
LCM(3828,3834) = 14676552 / 6
LCM(3828,3834) = 2446092

Properties of LCM 3828 and 3834

(i) The LCM of 3834 and 3828 is associative

LCM of 3828 and 3834 = LCM of 3834 and 3828

Related Least Common Multiples of 3828

Related Least Common Multiples of 3834

Frequently Asked Questions on LCM of 3828 and 3834

1. What is the LCM of 3828 and 3834?

Answer: LCM of 3828 and 3834 is 2446092.

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 3834?

Answer: Factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834. There are 16 integers that are factors of 3834. The greatest factor of 3834 is 3834.

4. How to Find the LCM of 3828 and 3834?

Answer:

Least Common Multiple of 3828 and 3834 = 2446092

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 3834

3834 = 2 x 3 x 3 x 3 x 71

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

LCM = 2446092 = 2 x 2 x 3 x 3 x 3 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 3828 and 3834 is 2446092.