Least Common Multiple of 7882 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 7882 and 7887 the smallest integer that is 62165334 that is divisible by both numbers.
Least Common Multiple (LCM) of 7882 and 7887 is 62165334.
LCM(7882,7887) = 62165334
LCM of 7882 and 7887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7882 and 7887 by Prime method
- Least Common Multiple of 7882 and 7887 with GCF Formula
LCM of 7882 and 7887 is 62165334
Least common multiple can be found by multiplying the highest exponent prime factors of 7882 and 7887. First we will calculate the prime factors of 7882 and 7887.
Prime Factorization of 7882
| 2 | 7882 |
| 7 | 3941 |
| 563 | 563 |
| 1 |
Prime factors of 7882 are 2, 7,563. Prime factorization of 7882 in exponential form is:
7882 = 21×71×5631
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 7882 and 7887.
LCM(7882,7887) = 21×31×71×111×2391×5631
LCM(7882,7887) = 62165334
Factors of 7882
List of positive integer factors of 7882 that divides 7882 without a remainder.
1, 2, 7, 14, 563, 1126, 3941, 7882
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 7882 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 7882 and 7887, than apply into the LCM equation.
GCF(7882,7887) = 1
LCM(7882,7887) = ( 7882 × 7887) / 1
LCM(7882,7887) = 62165334 / 1
LCM(7882,7887) = 62165334
Properties of LCM 7882 and 7887
(i) The LCM of 7887 and 7882 is associative
LCM of 7882 and 7887 = LCM of 7887 and 7882
Related Least Common Multiples of 7882
Related Least Common Multiples of 7887
Frequently Asked Questions on LCM of 7882 and 7887
1. What is the LCM of 7882 and 7887?
Answer: LCM of 7882 and 7887 is 62165334.
2. What are the Factors of 7882?
Answer: Factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882. There are 8 integers that are factors of 7882. The greatest factor of 7882 is 7882.
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 7882 and 7887?
Answer:
Least Common Multiple of 7882 and 7887 = 62165334
Step 1: Find the prime factorization of 7882
7882 = 2 x 7 x 563
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 = 62165334 = 2 x 3 x 7 x 11 x 239 x 563
Step 4: Therefore, the least common multiple of 7882 and 7887 is 62165334.