Least Common Multiple of 3831 and 3835

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 3835 the smallest integer that is 14691885 that is divisible by both numbers.

Least Common Multiple (LCM) of 3831 and 3835 is 14691885.

LCM(3831,3835) = 14691885

LCM of 3831 and 3835

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

LCM of:
and

Least Common Multiple of 3831 and 3835

LCM of 3831 and 3835 is 14691885

Least common multiple can be found by multiplying the highest exponent prime factors of 3831 and 3835. First we will calculate the prime factors of 3831 and 3835.

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 3835


5 3835
13 767
59 59
1

Prime factors of 3835 are 5, 13,59. Prime factorization of 3835 in exponential form is:

3835 = 51×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3831 and 3835.

LCM(3831,3835) = 31×51×131×591×12771
LCM(3831,3835) = 14691885

Factors of 3831

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

1, 3, 1277, 3831

Factors of 3835

List of positive integer factors of 3835 that divides 3835 without a remainder.

1, 5, 13, 59, 65, 295, 767, 3835

Least Common Multiple of 3831 and 3835 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 3835, than apply into the LCM equation.

GCF(3831,3835) = 1
LCM(3831,3835) = ( 3831 × 3835) / 1
LCM(3831,3835) = 14691885 / 1
LCM(3831,3835) = 14691885

Properties of LCM 3831 and 3835

(i) The LCM of 3835 and 3831 is associative

LCM of 3831 and 3835 = LCM of 3835 and 3831

Related Least Common Multiples of 3831

Related Least Common Multiples of 3835

Frequently Asked Questions on LCM of 3831 and 3835

1. What is the LCM of 3831 and 3835?

Answer: LCM of 3831 and 3835 is 14691885.

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 3835?

Answer: Factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835. There are 8 integers that are factors of 3835. The greatest factor of 3835 is 3835.

4. How to Find the LCM of 3831 and 3835?

Answer:

Least Common Multiple of 3831 and 3835 = 14691885

Step 1: Find the prime factorization of 3831

3831 = 3 x 1277

Step 2: Find the prime factorization of 3835

3835 = 5 x 13 x 59

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

LCM = 14691885 = 3 x 5 x 13 x 59 x 1277

Step 4: Therefore, the least common multiple of 3831 and 3835 is 14691885.