Least Common Multiple of 3824 and 3831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3824 and 3831 the smallest integer that is 14649744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3824 and 3831 is 14649744.

LCM(3824,3831) = 14649744

LCM of 3824 and 3831

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

LCM of:
and

Least Common Multiple of 3824 and 3831

LCM of 3824 and 3831 is 14649744

Least common multiple can be found by multiplying the highest exponent prime factors of 3824 and 3831. First we will calculate the prime factors of 3824 and 3831.

Prime Factorization of 3824


2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 3824 are 2,239. Prime factorization of 3824 in exponential form is:

3824 = 24×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3824 and 3831.

LCM(3824,3831) = 24×31×2391×12771
LCM(3824,3831) = 14649744

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824

Factors of 3831

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

1, 3, 1277, 3831

Least Common Multiple of 3824 and 3831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3824 and 3831, than apply into the LCM equation.

GCF(3824,3831) = 1
LCM(3824,3831) = ( 3824 × 3831) / 1
LCM(3824,3831) = 14649744 / 1
LCM(3824,3831) = 14649744

Properties of LCM 3824 and 3831

(i) The LCM of 3831 and 3824 is associative

LCM of 3824 and 3831 = LCM of 3831 and 3824

Related Least Common Multiples of 3824

Related Least Common Multiples of 3831

Frequently Asked Questions on LCM of 3824 and 3831

1. What is the LCM of 3824 and 3831?

Answer: LCM of 3824 and 3831 is 14649744.

2. What are the Factors of 3824?

Answer: Factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824. There are 10 integers that are factors of 3824. The greatest factor of 3824 is 3824.

3. 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.

4. How to Find the LCM of 3824 and 3831?

Answer:

Least Common Multiple of 3824 and 3831 = 14649744

Step 1: Find the prime factorization of 3824

3824 = 2 x 2 x 2 x 2 x 239

Step 2: Find the prime factorization of 3831

3831 = 3 x 1277

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

LCM = 14649744 = 2 x 2 x 2 x 2 x 3 x 239 x 1277

Step 4: Therefore, the least common multiple of 3824 and 3831 is 14649744.