Least Common Multiple of 3831 and 3838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3831 and 3838 the smallest integer that is 14703378 that is divisible by both numbers.

Least Common Multiple (LCM) of 3831 and 3838 is 14703378.

LCM(3831,3838) = 14703378

LCM of 3831 and 3838

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

LCM of:
and

Least Common Multiple of 3831 and 3838

LCM of 3831 and 3838 is 14703378

Least common multiple can be found by multiplying the highest exponent prime factors of 3831 and 3838. First we will calculate the prime factors of 3831 and 3838.

Prime Factorization of 3831


3 3831
1277 1277
1

Prime factors of 3831 are 3,1277. Prime factorization of 3831 in exponential form is:

3831 = 31×12771

Prime Factorization of 3838


2 3838
19 1919
101 101
1

Prime factors of 3838 are 2, 19,101. Prime factorization of 3838 in exponential form is:

3838 = 21×191×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3831 and 3838.

LCM(3831,3838) = 21×31×191×1011×12771
LCM(3831,3838) = 14703378

Factors of 3831

List of positive integer factors of 3831 that divides 3831 without a remainder.

1, 3, 1277, 3831

Factors of 3838

List of positive integer factors of 3838 that divides 3838 without a remainder.

1, 2, 19, 38, 101, 202, 1919, 3838

Least Common Multiple of 3831 and 3838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3831 and 3838, than apply into the LCM equation.

GCF(3831,3838) = 1
LCM(3831,3838) = ( 3831 × 3838) / 1
LCM(3831,3838) = 14703378 / 1
LCM(3831,3838) = 14703378

Properties of LCM 3831 and 3838

(i) The LCM of 3838 and 3831 is associative

LCM of 3831 and 3838 = LCM of 3838 and 3831

Related Least Common Multiples of 3831

Related Least Common Multiples of 3838

Frequently Asked Questions on LCM of 3831 and 3838

1. What is the LCM of 3831 and 3838?

Answer: LCM of 3831 and 3838 is 14703378.

2. What are the Factors of 3831?

Answer: Factors of 3831 are 1, 3, 1277, 3831. There are 4 integers that are factors of 3831. The greatest factor of 3831 is 3831.

3. What are the Factors of 3838?

Answer: Factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838. There are 8 integers that are factors of 3838. The greatest factor of 3838 is 3838.

4. How to Find the LCM of 3831 and 3838?

Answer:

Least Common Multiple of 3831 and 3838 = 14703378

Step 1: Find the prime factorization of 3831

3831 = 3 x 1277

Step 2: Find the prime factorization of 3838

3838 = 2 x 19 x 101

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

LCM = 14703378 = 2 x 3 x 19 x 101 x 1277

Step 4: Therefore, the least common multiple of 3831 and 3838 is 14703378.