Least Common Multiple of 7839 and 7844

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 7844 the smallest integer that is 61489116 that is divisible by both numbers.

Least Common Multiple (LCM) of 7839 and 7844 is 61489116.

LCM(7839,7844) = 61489116

LCM of 7839 and 7844

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

LCM of:
and

Least Common Multiple of 7839 and 7844

LCM of 7839 and 7844 is 61489116

Least common multiple can be found by multiplying the highest exponent prime factors of 7839 and 7844. First we will calculate the prime factors of 7839 and 7844.

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 7844


2 7844
2 3922
37 1961
53 53
1

Prime factors of 7844 are 2, 37,53. Prime factorization of 7844 in exponential form is:

7844 = 22×371×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7839 and 7844.

LCM(7839,7844) = 22×32×131×371×531×671
LCM(7839,7844) = 61489116

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 7844

List of positive integer factors of 7844 that divides 7844 without a remainder.

1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844

Least Common Multiple of 7839 and 7844 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 7844, than apply into the LCM equation.

GCF(7839,7844) = 1
LCM(7839,7844) = ( 7839 × 7844) / 1
LCM(7839,7844) = 61489116 / 1
LCM(7839,7844) = 61489116

Properties of LCM 7839 and 7844

(i) The LCM of 7844 and 7839 is associative

LCM of 7839 and 7844 = LCM of 7844 and 7839

Related Least Common Multiples of 7839

Related Least Common Multiples of 7844

Frequently Asked Questions on LCM of 7839 and 7844

1. What is the LCM of 7839 and 7844?

Answer: LCM of 7839 and 7844 is 61489116.

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 7844?

Answer: Factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844. There are 12 integers that are factors of 7844. The greatest factor of 7844 is 7844.

4. How to Find the LCM of 7839 and 7844?

Answer:

Least Common Multiple of 7839 and 7844 = 61489116

Step 1: Find the prime factorization of 7839

7839 = 3 x 3 x 13 x 67

Step 2: Find the prime factorization of 7844

7844 = 2 x 2 x 37 x 53

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

LCM = 61489116 = 2 x 2 x 3 x 3 x 13 x 37 x 53 x 67

Step 4: Therefore, the least common multiple of 7839 and 7844 is 61489116.