Least Common Multiple of 7864 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 7864 and 7872 the smallest integer that is 7738176 that is divisible by both numbers.

Least Common Multiple (LCM) of 7864 and 7872 is 7738176.

LCM(7864,7872) = 7738176

LCM of 7864 and 7872

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

LCM of:
and

Least Common Multiple of 7864 and 7872

LCM of 7864 and 7872 is 7738176

Least common multiple can be found by multiplying the highest exponent prime factors of 7864 and 7872. First we will calculate the prime factors of 7864 and 7872.

Prime Factorization of 7864


2 7864
2 3932
2 1966
983 983
1

Prime factors of 7864 are 2,983. Prime factorization of 7864 in exponential form is:

7864 = 23×9831

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 7864 and 7872.

LCM(7864,7872) = 26×31×411×9831
LCM(7864,7872) = 7738176

Factors of 7864

List of positive integer factors of 7864 that divides 7864 without a remainder.

1, 2, 4, 8, 983, 1966, 3932, 7864

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 7864 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 7864 and 7872, than apply into the LCM equation.

GCF(7864,7872) = 8
LCM(7864,7872) = ( 7864 × 7872) / 8
LCM(7864,7872) = 61905408 / 8
LCM(7864,7872) = 7738176

Properties of LCM 7864 and 7872

(i) The LCM of 7872 and 7864 is associative

LCM of 7864 and 7872 = LCM of 7872 and 7864

Related Least Common Multiples of 7864

Related Least Common Multiples of 7872

Frequently Asked Questions on LCM of 7864 and 7872

1. What is the LCM of 7864 and 7872?

Answer: LCM of 7864 and 7872 is 7738176.

2. What are the Factors of 7864?

Answer: Factors of 7864 are 1, 2, 4, 8, 983, 1966, 3932, 7864. There are 8 integers that are factors of 7864. The greatest factor of 7864 is 7864.

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 7864 and 7872?

Answer:

Least Common Multiple of 7864 and 7872 = 7738176

Step 1: Find the prime factorization of 7864

7864 = 2 x 2 x 2 x 983

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 = 7738176 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41 x 983

Step 4: Therefore, the least common multiple of 7864 and 7872 is 7738176.