Least Common Multiple of 7887 and 7891
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 7891 the smallest integer that is 62236317 that is divisible by both numbers.
Least Common Multiple (LCM) of 7887 and 7891 is 62236317.
LCM(7887,7891) = 62236317
LCM of 7887 and 7891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7887 and 7891 by Prime method
- Least Common Multiple of 7887 and 7891 with GCF Formula
LCM of 7887 and 7891 is 62236317
Least common multiple can be found by multiplying the highest exponent prime factors of 7887 and 7891. First we will calculate the prime factors of 7887 and 7891.
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 7891
| 13 | 7891 |
| 607 | 607 |
| 1 |
Prime factors of 7891 are 13,607. Prime factorization of 7891 in exponential form is:
7891 = 131×6071
Now multiplying the highest exponent prime factors to calculate the LCM of 7887 and 7891.
LCM(7887,7891) = 31×111×131×2391×6071
LCM(7887,7891) = 62236317
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 7891
List of positive integer factors of 7891 that divides 7891 without a remainder.
1, 13, 607, 7891
Least Common Multiple of 7887 and 7891 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 7891, than apply into the LCM equation.
GCF(7887,7891) = 1
LCM(7887,7891) = ( 7887 × 7891) / 1
LCM(7887,7891) = 62236317 / 1
LCM(7887,7891) = 62236317
Properties of LCM 7887 and 7891
(i) The LCM of 7891 and 7887 is associative
LCM of 7887 and 7891 = LCM of 7891 and 7887
Related Least Common Multiples of 7887
Related Least Common Multiples of 7891
Frequently Asked Questions on LCM of 7887 and 7891
1. What is the LCM of 7887 and 7891?
Answer: LCM of 7887 and 7891 is 62236317.
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 7891?
Answer: Factors of 7891 are 1, 13, 607, 7891. There are 4 integers that are factors of 7891. The greatest factor of 7891 is 7891.
4. How to Find the LCM of 7887 and 7891?
Answer:
Least Common Multiple of 7887 and 7891 = 62236317
Step 1: Find the prime factorization of 7887
7887 = 3 x 11 x 239
Step 2: Find the prime factorization of 7891
7891 = 13 x 607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62236317 = 3 x 11 x 13 x 239 x 607
Step 4: Therefore, the least common multiple of 7887 and 7891 is 62236317.