Least Common Multiple of 3843 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 3843 and 3847 the smallest integer that is 14784021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3843 and 3847 is 14784021.

LCM(3843,3847) = 14784021

LCM of 3843 and 3847

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

LCM of:
and

Least Common Multiple of 3843 and 3847

LCM of 3843 and 3847 is 14784021

Least common multiple can be found by multiplying the highest exponent prime factors of 3843 and 3847. First we will calculate the prime factors of 3843 and 3847.

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 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 3843 and 3847.

LCM(3843,3847) = 32×71×611×38471
LCM(3843,3847) = 14784021

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 3847

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

1, 3847

Least Common Multiple of 3843 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 3843 and 3847, than apply into the LCM equation.

GCF(3843,3847) = 1
LCM(3843,3847) = ( 3843 × 3847) / 1
LCM(3843,3847) = 14784021 / 1
LCM(3843,3847) = 14784021

Properties of LCM 3843 and 3847

(i) The LCM of 3847 and 3843 is associative

LCM of 3843 and 3847 = LCM of 3847 and 3843

Related Least Common Multiples of 3843

Related Least Common Multiples of 3847

Frequently Asked Questions on LCM of 3843 and 3847

1. What is the LCM of 3843 and 3847?

Answer: LCM of 3843 and 3847 is 14784021.

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 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 3843 and 3847?

Answer:

Least Common Multiple of 3843 and 3847 = 14784021

Step 1: Find the prime factorization of 3843

3843 = 3 x 3 x 7 x 61

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 = 14784021 = 3 x 3 x 7 x 61 x 3847

Step 4: Therefore, the least common multiple of 3843 and 3847 is 14784021.