Least Common Multiple of 7887 and 7893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7887 and 7893 the smallest integer that is 20750697 that is divisible by both numbers.

Least Common Multiple (LCM) of 7887 and 7893 is 20750697.

LCM(7887,7893) = 20750697

LCM of 7887 and 7893

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

LCM of:
and

Least Common Multiple of 7887 and 7893

LCM of 7887 and 7893 is 20750697

Least common multiple can be found by multiplying the highest exponent prime factors of 7887 and 7893. First we will calculate the prime factors of 7887 and 7893.

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

Prime Factorization of 7893


3 7893
3 2631
877 877
1

Prime factors of 7893 are 3,877. Prime factorization of 7893 in exponential form is:

7893 = 32×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 7887 and 7893.

LCM(7887,7893) = 32×111×2391×8771
LCM(7887,7893) = 20750697

Factors of 7887

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

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

Factors of 7893

List of positive integer factors of 7893 that divides 7893 without a remainder.

1, 3, 9, 877, 2631, 7893

Least Common Multiple of 7887 and 7893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7887 and 7893, than apply into the LCM equation.

GCF(7887,7893) = 3
LCM(7887,7893) = ( 7887 × 7893) / 3
LCM(7887,7893) = 62252091 / 3
LCM(7887,7893) = 20750697

Properties of LCM 7887 and 7893

(i) The LCM of 7893 and 7887 is associative

LCM of 7887 and 7893 = LCM of 7893 and 7887

Related Least Common Multiples of 7887

Related Least Common Multiples of 7893

Frequently Asked Questions on LCM of 7887 and 7893

1. What is the LCM of 7887 and 7893?

Answer: LCM of 7887 and 7893 is 20750697.

2. 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.

3. What are the Factors of 7893?

Answer: Factors of 7893 are 1, 3, 9, 877, 2631, 7893. There are 6 integers that are factors of 7893. The greatest factor of 7893 is 7893.

4. How to Find the LCM of 7887 and 7893?

Answer:

Least Common Multiple of 7887 and 7893 = 20750697

Step 1: Find the prime factorization of 7887

7887 = 3 x 11 x 239

Step 2: Find the prime factorization of 7893

7893 = 3 x 3 x 877

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

LCM = 20750697 = 3 x 3 x 11 x 239 x 877

Step 4: Therefore, the least common multiple of 7887 and 7893 is 20750697.