Least Common Multiple of 3844 and 3846

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 3846 the smallest integer that is 7392012 that is divisible by both numbers.

Least Common Multiple (LCM) of 3844 and 3846 is 7392012.

LCM(3844,3846) = 7392012

LCM of 3844 and 3846

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

LCM of:
and

Least Common Multiple of 3844 and 3846

LCM of 3844 and 3846 is 7392012

Least common multiple can be found by multiplying the highest exponent prime factors of 3844 and 3846. First we will calculate the prime factors of 3844 and 3846.

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 3846


2 3846
3 1923
641 641
1

Prime factors of 3846 are 2, 3,641. Prime factorization of 3846 in exponential form is:

3846 = 21×31×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 3844 and 3846.

LCM(3844,3846) = 22×31×312×6411
LCM(3844,3846) = 7392012

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 3846

List of positive integer factors of 3846 that divides 3846 without a remainder.

1, 2, 3, 6, 641, 1282, 1923, 3846

Least Common Multiple of 3844 and 3846 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 3846, than apply into the LCM equation.

GCF(3844,3846) = 2
LCM(3844,3846) = ( 3844 × 3846) / 2
LCM(3844,3846) = 14784024 / 2
LCM(3844,3846) = 7392012

Properties of LCM 3844 and 3846

(i) The LCM of 3846 and 3844 is associative

LCM of 3844 and 3846 = LCM of 3846 and 3844

Related Least Common Multiples of 3844

Related Least Common Multiples of 3846

Frequently Asked Questions on LCM of 3844 and 3846

1. What is the LCM of 3844 and 3846?

Answer: LCM of 3844 and 3846 is 7392012.

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 3846?

Answer: Factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846. There are 8 integers that are factors of 3846. The greatest factor of 3846 is 3846.

4. How to Find the LCM of 3844 and 3846?

Answer:

Least Common Multiple of 3844 and 3846 = 7392012

Step 1: Find the prime factorization of 3844

3844 = 2 x 2 x 31 x 31

Step 2: Find the prime factorization of 3846

3846 = 2 x 3 x 641

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

LCM = 7392012 = 2 x 2 x 3 x 31 x 31 x 641

Step 4: Therefore, the least common multiple of 3844 and 3846 is 7392012.