Least Common Multiple of 7839 and 7843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7839 and 7843 the smallest integer that is 61481277 that is divisible by both numbers.

Least Common Multiple (LCM) of 7839 and 7843 is 61481277.

LCM(7839,7843) = 61481277

LCM of 7839 and 7843

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

LCM of:
and

Least Common Multiple of 7839 and 7843

LCM of 7839 and 7843 is 61481277

Least common multiple can be found by multiplying the highest exponent prime factors of 7839 and 7843. First we will calculate the prime factors of 7839 and 7843.

Prime Factorization of 7839


3 7839
3 2613
13 871
67 67
1

Prime factors of 7839 are 3, 13,67. Prime factorization of 7839 in exponential form is:

7839 = 32×131×671

Prime Factorization of 7843


11 7843
23 713
31 31
1

Prime factors of 7843 are 11, 23,31. Prime factorization of 7843 in exponential form is:

7843 = 111×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7839 and 7843.

LCM(7839,7843) = 32×111×131×231×311×671
LCM(7839,7843) = 61481277

Factors of 7839

List of positive integer factors of 7839 that divides 7839 without a remainder.

1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839

Factors of 7843

List of positive integer factors of 7843 that divides 7843 without a remainder.

1, 11, 23, 31, 253, 341, 713, 7843

Least Common Multiple of 7839 and 7843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7839 and 7843, than apply into the LCM equation.

GCF(7839,7843) = 1
LCM(7839,7843) = ( 7839 × 7843) / 1
LCM(7839,7843) = 61481277 / 1
LCM(7839,7843) = 61481277

Properties of LCM 7839 and 7843

(i) The LCM of 7843 and 7839 is associative

LCM of 7839 and 7843 = LCM of 7843 and 7839

Related Least Common Multiples of 7839

Related Least Common Multiples of 7843

Frequently Asked Questions on LCM of 7839 and 7843

1. What is the LCM of 7839 and 7843?

Answer: LCM of 7839 and 7843 is 61481277.

2. What are the Factors of 7839?

Answer: Factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839. There are 12 integers that are factors of 7839. The greatest factor of 7839 is 7839.

3. What are the Factors of 7843?

Answer: Factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843. There are 8 integers that are factors of 7843. The greatest factor of 7843 is 7843.

4. How to Find the LCM of 7839 and 7843?

Answer:

Least Common Multiple of 7839 and 7843 = 61481277

Step 1: Find the prime factorization of 7839

7839 = 3 x 3 x 13 x 67

Step 2: Find the prime factorization of 7843

7843 = 11 x 23 x 31

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

LCM = 61481277 = 3 x 3 x 11 x 13 x 23 x 31 x 67

Step 4: Therefore, the least common multiple of 7839 and 7843 is 61481277.