Least Common Multiple of 7844 and 7851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7844 and 7851 the smallest integer that is 61583244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7844 and 7851 is 61583244.

LCM(7844,7851) = 61583244

LCM of 7844 and 7851

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

LCM of:
and

Least Common Multiple of 7844 and 7851

LCM of 7844 and 7851 is 61583244

Least common multiple can be found by multiplying the highest exponent prime factors of 7844 and 7851. First we will calculate the prime factors of 7844 and 7851.

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

Prime Factorization of 7851


3 7851
2617 2617
1

Prime factors of 7851 are 3,2617. Prime factorization of 7851 in exponential form is:

7851 = 31×26171

Now multiplying the highest exponent prime factors to calculate the LCM of 7844 and 7851.

LCM(7844,7851) = 22×31×371×531×26171
LCM(7844,7851) = 61583244

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

Factors of 7851

List of positive integer factors of 7851 that divides 7851 without a remainder.

1, 3, 2617, 7851

Least Common Multiple of 7844 and 7851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7844 and 7851, than apply into the LCM equation.

GCF(7844,7851) = 1
LCM(7844,7851) = ( 7844 × 7851) / 1
LCM(7844,7851) = 61583244 / 1
LCM(7844,7851) = 61583244

Properties of LCM 7844 and 7851

(i) The LCM of 7851 and 7844 is associative

LCM of 7844 and 7851 = LCM of 7851 and 7844

Related Least Common Multiples of 7844

Related Least Common Multiples of 7851

Frequently Asked Questions on LCM of 7844 and 7851

1. What is the LCM of 7844 and 7851?

Answer: LCM of 7844 and 7851 is 61583244.

2. 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.

3. What are the Factors of 7851?

Answer: Factors of 7851 are 1, 3, 2617, 7851. There are 4 integers that are factors of 7851. The greatest factor of 7851 is 7851.

4. How to Find the LCM of 7844 and 7851?

Answer:

Least Common Multiple of 7844 and 7851 = 61583244

Step 1: Find the prime factorization of 7844

7844 = 2 x 2 x 37 x 53

Step 2: Find the prime factorization of 7851

7851 = 3 x 2617

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

LCM = 61583244 = 2 x 2 x 3 x 37 x 53 x 2617

Step 4: Therefore, the least common multiple of 7844 and 7851 is 61583244.