Least Common Multiple of 7881 and 7887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7881 and 7887 the smallest integer that is 20719149 that is divisible by both numbers.

Least Common Multiple (LCM) of 7881 and 7887 is 20719149.

LCM(7881,7887) = 20719149

LCM of 7881 and 7887

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

LCM of:
and

Least Common Multiple of 7881 and 7887

LCM of 7881 and 7887 is 20719149

Least common multiple can be found by multiplying the highest exponent prime factors of 7881 and 7887. First we will calculate the prime factors of 7881 and 7887.

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

Prime Factorization of 7887


3 7887
11 2629
239 239
1

Prime factors of 7887 are 3, 11,239. Prime factorization of 7887 in exponential form is:

7887 = 31×111×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7881 and 7887.

LCM(7881,7887) = 31×111×371×711×2391
LCM(7881,7887) = 20719149

Factors of 7881

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

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

Factors of 7887

List of positive integer factors of 7887 that divides 7887 without a remainder.

1, 3, 11, 33, 239, 717, 2629, 7887

Least Common Multiple of 7881 and 7887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7881 and 7887, than apply into the LCM equation.

GCF(7881,7887) = 3
LCM(7881,7887) = ( 7881 × 7887) / 3
LCM(7881,7887) = 62157447 / 3
LCM(7881,7887) = 20719149

Properties of LCM 7881 and 7887

(i) The LCM of 7887 and 7881 is associative

LCM of 7881 and 7887 = LCM of 7887 and 7881

Related Least Common Multiples of 7881

Related Least Common Multiples of 7887

Frequently Asked Questions on LCM of 7881 and 7887

1. What is the LCM of 7881 and 7887?

Answer: LCM of 7881 and 7887 is 20719149.

2. 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.

3. What are the Factors of 7887?

Answer: Factors of 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887. There are 8 integers that are factors of 7887. The greatest factor of 7887 is 7887.

4. How to Find the LCM of 7881 and 7887?

Answer:

Least Common Multiple of 7881 and 7887 = 20719149

Step 1: Find the prime factorization of 7881

7881 = 3 x 37 x 71

Step 2: Find the prime factorization of 7887

7887 = 3 x 11 x 239

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

LCM = 20719149 = 3 x 11 x 37 x 71 x 239

Step 4: Therefore, the least common multiple of 7881 and 7887 is 20719149.