Least Common Multiple of 3829 and 3837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3829 and 3837 the smallest integer that is 14691873 that is divisible by both numbers.

Least Common Multiple (LCM) of 3829 and 3837 is 14691873.

LCM(3829,3837) = 14691873

LCM of 3829 and 3837

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

LCM of:
and

Least Common Multiple of 3829 and 3837

LCM of 3829 and 3837 is 14691873

Least common multiple can be found by multiplying the highest exponent prime factors of 3829 and 3837. First we will calculate the prime factors of 3829 and 3837.

Prime Factorization of 3829


7 3829
547 547
1

Prime factors of 3829 are 7,547. Prime factorization of 3829 in exponential form is:

3829 = 71×5471

Prime Factorization of 3837


3 3837
1279 1279
1

Prime factors of 3837 are 3,1279. Prime factorization of 3837 in exponential form is:

3837 = 31×12791

Now multiplying the highest exponent prime factors to calculate the LCM of 3829 and 3837.

LCM(3829,3837) = 31×71×5471×12791
LCM(3829,3837) = 14691873

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1, 7, 547, 3829

Factors of 3837

List of positive integer factors of 3837 that divides 3837 without a remainder.

1, 3, 1279, 3837

Least Common Multiple of 3829 and 3837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3829 and 3837, than apply into the LCM equation.

GCF(3829,3837) = 1
LCM(3829,3837) = ( 3829 × 3837) / 1
LCM(3829,3837) = 14691873 / 1
LCM(3829,3837) = 14691873

Properties of LCM 3829 and 3837

(i) The LCM of 3837 and 3829 is associative

LCM of 3829 and 3837 = LCM of 3837 and 3829

Related Least Common Multiples of 3829

Related Least Common Multiples of 3837

Frequently Asked Questions on LCM of 3829 and 3837

1. What is the LCM of 3829 and 3837?

Answer: LCM of 3829 and 3837 is 14691873.

2. What are the Factors of 3829?

Answer: Factors of 3829 are 1, 7, 547, 3829. There are 4 integers that are factors of 3829. The greatest factor of 3829 is 3829.

3. What are the Factors of 3837?

Answer: Factors of 3837 are 1, 3, 1279, 3837. There are 4 integers that are factors of 3837. The greatest factor of 3837 is 3837.

4. How to Find the LCM of 3829 and 3837?

Answer:

Least Common Multiple of 3829 and 3837 = 14691873

Step 1: Find the prime factorization of 3829

3829 = 7 x 547

Step 2: Find the prime factorization of 3837

3837 = 3 x 1279

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

LCM = 14691873 = 3 x 7 x 547 x 1279

Step 4: Therefore, the least common multiple of 3829 and 3837 is 14691873.