Least Common Multiple of 7875 and 7881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7875 and 7881 the smallest integer that is 20687625 that is divisible by both numbers.

Least Common Multiple (LCM) of 7875 and 7881 is 20687625.

LCM(7875,7881) = 20687625

LCM of 7875 and 7881

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

LCM of:
and

Least Common Multiple of 7875 and 7881

LCM of 7875 and 7881 is 20687625

Least common multiple can be found by multiplying the highest exponent prime factors of 7875 and 7881. First we will calculate the prime factors of 7875 and 7881.

Prime Factorization of 7875


3 7875
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 7875 are 3, 5,7. Prime factorization of 7875 in exponential form is:

7875 = 32×53×71

Prime Factorization of 7881


3 7881
37 2627
71 71
1

Prime factors of 7881 are 3, 37,71. Prime factorization of 7881 in exponential form is:

7881 = 31×371×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7875 and 7881.

LCM(7875,7881) = 32×53×71×371×711
LCM(7875,7881) = 20687625

Factors of 7875

List of positive integer factors of 7875 that divides 7875 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875

Factors of 7881

List of positive integer factors of 7881 that divides 7881 without a remainder.

1, 3, 37, 71, 111, 213, 2627, 7881

Least Common Multiple of 7875 and 7881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7875 and 7881, than apply into the LCM equation.

GCF(7875,7881) = 3
LCM(7875,7881) = ( 7875 × 7881) / 3
LCM(7875,7881) = 62062875 / 3
LCM(7875,7881) = 20687625

Properties of LCM 7875 and 7881

(i) The LCM of 7881 and 7875 is associative

LCM of 7875 and 7881 = LCM of 7881 and 7875

Related Least Common Multiples of 7875

Related Least Common Multiples of 7881

Frequently Asked Questions on LCM of 7875 and 7881

1. What is the LCM of 7875 and 7881?

Answer: LCM of 7875 and 7881 is 20687625.

2. What are the Factors of 7875?

Answer: Factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875. There are 24 integers that are factors of 7875. The greatest factor of 7875 is 7875.

3. What are the Factors of 7881?

Answer: Factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881. There are 8 integers that are factors of 7881. The greatest factor of 7881 is 7881.

4. How to Find the LCM of 7875 and 7881?

Answer:

Least Common Multiple of 7875 and 7881 = 20687625

Step 1: Find the prime factorization of 7875

7875 = 3 x 3 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 7881

7881 = 3 x 37 x 71

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

LCM = 20687625 = 3 x 3 x 5 x 5 x 5 x 7 x 37 x 71

Step 4: Therefore, the least common multiple of 7875 and 7881 is 20687625.