Least Common Multiple of 7865 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 7865 and 7872 the smallest integer that is 61913280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7865 and 7872 is 61913280.

LCM(7865,7872) = 61913280

LCM of 7865 and 7872

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

LCM of:
and

Least Common Multiple of 7865 and 7872

LCM of 7865 and 7872 is 61913280

Least common multiple can be found by multiplying the highest exponent prime factors of 7865 and 7872. First we will calculate the prime factors of 7865 and 7872.

Prime Factorization of 7865


5 7865
11 1573
11 143
13 13
1

Prime factors of 7865 are 5, 11,13. Prime factorization of 7865 in exponential form is:

7865 = 51×112×131

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 7865 and 7872.

LCM(7865,7872) = 26×31×51×112×131×411
LCM(7865,7872) = 61913280

Factors of 7865

List of positive integer factors of 7865 that divides 7865 without a remainder.

1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865

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 7865 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 7865 and 7872, than apply into the LCM equation.

GCF(7865,7872) = 1
LCM(7865,7872) = ( 7865 × 7872) / 1
LCM(7865,7872) = 61913280 / 1
LCM(7865,7872) = 61913280

Properties of LCM 7865 and 7872

(i) The LCM of 7872 and 7865 is associative

LCM of 7865 and 7872 = LCM of 7872 and 7865

Related Least Common Multiples of 7865

Related Least Common Multiples of 7872

Frequently Asked Questions on LCM of 7865 and 7872

1. What is the LCM of 7865 and 7872?

Answer: LCM of 7865 and 7872 is 61913280.

2. What are the Factors of 7865?

Answer: Factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865. There are 12 integers that are factors of 7865. The greatest factor of 7865 is 7865.

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 7865 and 7872?

Answer:

Least Common Multiple of 7865 and 7872 = 61913280

Step 1: Find the prime factorization of 7865

7865 = 5 x 11 x 11 x 13

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 = 61913280 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 7865 and 7872 is 61913280.