Least Common Multiple of 3829 and 3836

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 3836 the smallest integer that is 2098292 that is divisible by both numbers.

Least Common Multiple (LCM) of 3829 and 3836 is 2098292.

LCM(3829,3836) = 2098292

LCM of 3829 and 3836

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

LCM of:
and

Least Common Multiple of 3829 and 3836

LCM of 3829 and 3836 is 2098292

Least common multiple can be found by multiplying the highest exponent prime factors of 3829 and 3836. First we will calculate the prime factors of 3829 and 3836.

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 3836


2 3836
2 1918
7 959
137 137
1

Prime factors of 3836 are 2, 7,137. Prime factorization of 3836 in exponential form is:

3836 = 22×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3829 and 3836.

LCM(3829,3836) = 22×71×1371×5471
LCM(3829,3836) = 2098292

Factors of 3829

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

1, 7, 547, 3829

Factors of 3836

List of positive integer factors of 3836 that divides 3836 without a remainder.

1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836

Least Common Multiple of 3829 and 3836 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 3836, than apply into the LCM equation.

GCF(3829,3836) = 7
LCM(3829,3836) = ( 3829 × 3836) / 7
LCM(3829,3836) = 14688044 / 7
LCM(3829,3836) = 2098292

Properties of LCM 3829 and 3836

(i) The LCM of 3836 and 3829 is associative

LCM of 3829 and 3836 = LCM of 3836 and 3829

Related Least Common Multiples of 3829

Related Least Common Multiples of 3836

Frequently Asked Questions on LCM of 3829 and 3836

1. What is the LCM of 3829 and 3836?

Answer: LCM of 3829 and 3836 is 2098292.

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 3836?

Answer: Factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836. There are 12 integers that are factors of 3836. The greatest factor of 3836 is 3836.

4. How to Find the LCM of 3829 and 3836?

Answer:

Least Common Multiple of 3829 and 3836 = 2098292

Step 1: Find the prime factorization of 3829

3829 = 7 x 547

Step 2: Find the prime factorization of 3836

3836 = 2 x 2 x 7 x 137

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

LCM = 2098292 = 2 x 2 x 7 x 137 x 547

Step 4: Therefore, the least common multiple of 3829 and 3836 is 2098292.