Least Common Multiple of 3844 and 3847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3844 and 3847 the smallest integer that is 14787868 that is divisible by both numbers.

Least Common Multiple (LCM) of 3844 and 3847 is 14787868.

LCM(3844,3847) = 14787868

LCM of 3844 and 3847

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

LCM of:
and

Least Common Multiple of 3844 and 3847

LCM of 3844 and 3847 is 14787868

Least common multiple can be found by multiplying the highest exponent prime factors of 3844 and 3847. First we will calculate the prime factors of 3844 and 3847.

Prime Factorization of 3844


2 3844
2 1922
31 961
31 31
1

Prime factors of 3844 are 2,31. Prime factorization of 3844 in exponential form is:

3844 = 22×312

Prime Factorization of 3847


3847 3847
1

Prime factors of 3847 are 3847. Prime factorization of 3847 in exponential form is:

3847 = 38471

Now multiplying the highest exponent prime factors to calculate the LCM of 3844 and 3847.

LCM(3844,3847) = 22×312×38471
LCM(3844,3847) = 14787868

Factors of 3844

List of positive integer factors of 3844 that divides 3844 without a remainder.

1, 2, 4, 31, 62, 124, 961, 1922, 3844

Factors of 3847

List of positive integer factors of 3847 that divides 3847 without a remainder.

1, 3847

Least Common Multiple of 3844 and 3847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3844 and 3847, than apply into the LCM equation.

GCF(3844,3847) = 1
LCM(3844,3847) = ( 3844 × 3847) / 1
LCM(3844,3847) = 14787868 / 1
LCM(3844,3847) = 14787868

Properties of LCM 3844 and 3847

(i) The LCM of 3847 and 3844 is associative

LCM of 3844 and 3847 = LCM of 3847 and 3844

Related Least Common Multiples of 3844

Related Least Common Multiples of 3847

Frequently Asked Questions on LCM of 3844 and 3847

1. What is the LCM of 3844 and 3847?

Answer: LCM of 3844 and 3847 is 14787868.

2. What are the Factors of 3844?

Answer: Factors of 3844 are 1, 2, 4, 31, 62, 124, 961, 1922, 3844. There are 9 integers that are factors of 3844. The greatest factor of 3844 is 3844.

3. What are the Factors of 3847?

Answer: Factors of 3847 are 1, 3847. There are 2 integers that are factors of 3847. The greatest factor of 3847 is 3847.

4. How to Find the LCM of 3844 and 3847?

Answer:

Least Common Multiple of 3844 and 3847 = 14787868

Step 1: Find the prime factorization of 3844

3844 = 2 x 2 x 31 x 31

Step 2: Find the prime factorization of 3847

3847 = 3847

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

LCM = 14787868 = 2 x 2 x 31 x 31 x 3847

Step 4: Therefore, the least common multiple of 3844 and 3847 is 14787868.