Least Common Multiple of 7838 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 7838 and 7844 the smallest integer that is 30740636 that is divisible by both numbers.

Least Common Multiple (LCM) of 7838 and 7844 is 30740636.

LCM(7838,7844) = 30740636

LCM of 7838 and 7844

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

LCM of:
and

Least Common Multiple of 7838 and 7844

LCM of 7838 and 7844 is 30740636

Least common multiple can be found by multiplying the highest exponent prime factors of 7838 and 7844. First we will calculate the prime factors of 7838 and 7844.

Prime Factorization of 7838


2 7838
3919 3919
1

Prime factors of 7838 are 2,3919. Prime factorization of 7838 in exponential form is:

7838 = 21×39191

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 7838 and 7844.

LCM(7838,7844) = 22×371×531×39191
LCM(7838,7844) = 30740636

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1, 2, 3919, 7838

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 7838 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 7838 and 7844, than apply into the LCM equation.

GCF(7838,7844) = 2
LCM(7838,7844) = ( 7838 × 7844) / 2
LCM(7838,7844) = 61481272 / 2
LCM(7838,7844) = 30740636

Properties of LCM 7838 and 7844

(i) The LCM of 7844 and 7838 is associative

LCM of 7838 and 7844 = LCM of 7844 and 7838

Related Least Common Multiples of 7838

Related Least Common Multiples of 7844

Frequently Asked Questions on LCM of 7838 and 7844

1. What is the LCM of 7838 and 7844?

Answer: LCM of 7838 and 7844 is 30740636.

2. What are the Factors of 7838?

Answer: Factors of 7838 are 1, 2, 3919, 7838. There are 4 integers that are factors of 7838. The greatest factor of 7838 is 7838.

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 7838 and 7844?

Answer:

Least Common Multiple of 7838 and 7844 = 30740636

Step 1: Find the prime factorization of 7838

7838 = 2 x 3919

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 = 30740636 = 2 x 2 x 37 x 53 x 3919

Step 4: Therefore, the least common multiple of 7838 and 7844 is 30740636.