Least Common Multiple of 7875 and 7882
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7875 and 7882 the smallest integer that is 8867250 that is divisible by both numbers.
Least Common Multiple (LCM) of 7875 and 7882 is 8867250.
LCM(7875,7882) = 8867250
LCM of 7875 and 7882
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7875 and 7882 by Prime method
- Least Common Multiple of 7875 and 7882 with GCF Formula
LCM of 7875 and 7882 is 8867250
Least common multiple can be found by multiplying the highest exponent prime factors of 7875 and 7882. First we will calculate the prime factors of 7875 and 7882.
Prime Factorization of 7875
| 3 | 7875 |
| 3 | 2625 |
| 5 | 875 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 7875 are 3, 5,7. Prime factorization of 7875 in exponential form is:
7875 = 32×53×71
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7875 and 7882.
LCM(7875,7882) = 21×32×53×71×5631
LCM(7875,7882) = 8867250
Factors of 7875
List of positive integer factors of 7875 that divides 7875 without a remainder.
1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875
Factors of 7882
List of positive integer factors of 7882 that divides 7882 without a remainder.
1, 2, 7, 14, 563, 1126, 3941, 7882
Least Common Multiple of 7875 and 7882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7875 and 7882, than apply into the LCM equation.
GCF(7875,7882) = 7
LCM(7875,7882) = ( 7875 × 7882) / 7
LCM(7875,7882) = 62070750 / 7
LCM(7875,7882) = 8867250
Properties of LCM 7875 and 7882
(i) The LCM of 7882 and 7875 is associative
LCM of 7875 and 7882 = LCM of 7882 and 7875
Related Least Common Multiples of 7875
Related Least Common Multiples of 7882
Frequently Asked Questions on LCM of 7875 and 7882
1. What is the LCM of 7875 and 7882?
Answer: LCM of 7875 and 7882 is 8867250.
2. What are the Factors of 7875?
Answer: Factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875. There are 24 integers that are factors of 7875. The greatest factor of 7875 is 7875.
3. 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.
4. How to Find the LCM of 7875 and 7882?
Answer:
Least Common Multiple of 7875 and 7882 = 8867250
Step 1: Find the prime factorization of 7875
7875 = 3 x 3 x 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 7882
7882 = 2 x 7 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8867250 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 563
Step 4: Therefore, the least common multiple of 7875 and 7882 is 8867250.