Least Common Multiple of 7881 and 7889

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 7889 the smallest integer that is 62173209 that is divisible by both numbers.

Least Common Multiple (LCM) of 7881 and 7889 is 62173209.

LCM(7881,7889) = 62173209

LCM of 7881 and 7889

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

LCM of:
and

Least Common Multiple of 7881 and 7889

LCM of 7881 and 7889 is 62173209

Least common multiple can be found by multiplying the highest exponent prime factors of 7881 and 7889. First we will calculate the prime factors of 7881 and 7889.

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 7889


7 7889
7 1127
7 161
23 23
1

Prime factors of 7889 are 7,23. Prime factorization of 7889 in exponential form is:

7889 = 73×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7881 and 7889.

LCM(7881,7889) = 31×73×231×371×711
LCM(7881,7889) = 62173209

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 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1, 7, 23, 49, 161, 343, 1127, 7889

Least Common Multiple of 7881 and 7889 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 7889, than apply into the LCM equation.

GCF(7881,7889) = 1
LCM(7881,7889) = ( 7881 × 7889) / 1
LCM(7881,7889) = 62173209 / 1
LCM(7881,7889) = 62173209

Properties of LCM 7881 and 7889

(i) The LCM of 7889 and 7881 is associative

LCM of 7881 and 7889 = LCM of 7889 and 7881

Related Least Common Multiples of 7881

Related Least Common Multiples of 7889

Frequently Asked Questions on LCM of 7881 and 7889

1. What is the LCM of 7881 and 7889?

Answer: LCM of 7881 and 7889 is 62173209.

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 7889?

Answer: Factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889. There are 8 integers that are factors of 7889. The greatest factor of 7889 is 7889.

4. How to Find the LCM of 7881 and 7889?

Answer:

Least Common Multiple of 7881 and 7889 = 62173209

Step 1: Find the prime factorization of 7881

7881 = 3 x 37 x 71

Step 2: Find the prime factorization of 7889

7889 = 7 x 7 x 7 x 23

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

LCM = 62173209 = 3 x 7 x 7 x 7 x 23 x 37 x 71

Step 4: Therefore, the least common multiple of 7881 and 7889 is 62173209.