Least Common Multiple of 7866 and 7872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7866 and 7872 the smallest integer that is 10320192 that is divisible by both numbers.

Least Common Multiple (LCM) of 7866 and 7872 is 10320192.

LCM(7866,7872) = 10320192

LCM of 7866 and 7872

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

LCM of:
and

Least Common Multiple of 7866 and 7872

LCM of 7866 and 7872 is 10320192

Least common multiple can be found by multiplying the highest exponent prime factors of 7866 and 7872. First we will calculate the prime factors of 7866 and 7872.

Prime Factorization of 7866


2 7866
3 3933
3 1311
19 437
23 23
1

Prime factors of 7866 are 2, 3, 19,23. Prime factorization of 7866 in exponential form is:

7866 = 21×32×191×231

Prime Factorization of 7872


2 7872
2 3936
2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 7872 are 2, 3,41. Prime factorization of 7872 in exponential form is:

7872 = 26×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7866 and 7872.

LCM(7866,7872) = 26×32×191×231×411
LCM(7866,7872) = 10320192

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872

Least Common Multiple of 7866 and 7872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7866 and 7872, than apply into the LCM equation.

GCF(7866,7872) = 6
LCM(7866,7872) = ( 7866 × 7872) / 6
LCM(7866,7872) = 61921152 / 6
LCM(7866,7872) = 10320192

Properties of LCM 7866 and 7872

(i) The LCM of 7872 and 7866 is associative

LCM of 7866 and 7872 = LCM of 7872 and 7866

Related Least Common Multiples of 7866

Related Least Common Multiples of 7872

Frequently Asked Questions on LCM of 7866 and 7872

1. What is the LCM of 7866 and 7872?

Answer: LCM of 7866 and 7872 is 10320192.

2. What are the Factors of 7866?

Answer: Factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866. There are 24 integers that are factors of 7866. The greatest factor of 7866 is 7866.

3. What are the Factors of 7872?

Answer: Factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872. There are 28 integers that are factors of 7872. The greatest factor of 7872 is 7872.

4. How to Find the LCM of 7866 and 7872?

Answer:

Least Common Multiple of 7866 and 7872 = 10320192

Step 1: Find the prime factorization of 7866

7866 = 2 x 3 x 3 x 19 x 23

Step 2: Find the prime factorization of 7872

7872 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41

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

LCM = 10320192 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 23 x 41

Step 4: Therefore, the least common multiple of 7866 and 7872 is 10320192.