Least Common Multiple of 3843 and 3848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3843 and 3848 the smallest integer that is 14787864 that is divisible by both numbers.

Least Common Multiple (LCM) of 3843 and 3848 is 14787864.

LCM(3843,3848) = 14787864

LCM of 3843 and 3848

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

LCM of:
and

Least Common Multiple of 3843 and 3848

LCM of 3843 and 3848 is 14787864

Least common multiple can be found by multiplying the highest exponent prime factors of 3843 and 3848. First we will calculate the prime factors of 3843 and 3848.

Prime Factorization of 3843


3 3843
3 1281
7 427
61 61
1

Prime factors of 3843 are 3, 7,61. Prime factorization of 3843 in exponential form is:

3843 = 32×71×611

Prime Factorization of 3848


2 3848
2 1924
2 962
13 481
37 37
1

Prime factors of 3848 are 2, 13,37. Prime factorization of 3848 in exponential form is:

3848 = 23×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3843 and 3848.

LCM(3843,3848) = 23×32×71×131×371×611
LCM(3843,3848) = 14787864

Factors of 3843

List of positive integer factors of 3843 that divides 3843 without a remainder.

1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843

Factors of 3848

List of positive integer factors of 3848 that divides 3848 without a remainder.

1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848

Least Common Multiple of 3843 and 3848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3843 and 3848, than apply into the LCM equation.

GCF(3843,3848) = 1
LCM(3843,3848) = ( 3843 × 3848) / 1
LCM(3843,3848) = 14787864 / 1
LCM(3843,3848) = 14787864

Properties of LCM 3843 and 3848

(i) The LCM of 3848 and 3843 is associative

LCM of 3843 and 3848 = LCM of 3848 and 3843

Related Least Common Multiples of 3843

Related Least Common Multiples of 3848

Frequently Asked Questions on LCM of 3843 and 3848

1. What is the LCM of 3843 and 3848?

Answer: LCM of 3843 and 3848 is 14787864.

2. What are the Factors of 3843?

Answer: Factors of 3843 are 1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843. There are 12 integers that are factors of 3843. The greatest factor of 3843 is 3843.

3. What are the Factors of 3848?

Answer: Factors of 3848 are 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848. There are 16 integers that are factors of 3848. The greatest factor of 3848 is 3848.

4. How to Find the LCM of 3843 and 3848?

Answer:

Least Common Multiple of 3843 and 3848 = 14787864

Step 1: Find the prime factorization of 3843

3843 = 3 x 3 x 7 x 61

Step 2: Find the prime factorization of 3848

3848 = 2 x 2 x 2 x 13 x 37

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

LCM = 14787864 = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 37 x 61

Step 4: Therefore, the least common multiple of 3843 and 3848 is 14787864.