Least Common Multiple of 6371 and 6375
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6371 and 6375 the smallest integer that is 40615125 that is divisible by both numbers.
Least Common Multiple (LCM) of 6371 and 6375 is 40615125.
LCM(6371,6375) = 40615125
LCM of 6371 and 6375
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6371 and 6375 by Prime method
- Least Common Multiple of 6371 and 6375 with GCF Formula
LCM of 6371 and 6375 is 40615125
Least common multiple can be found by multiplying the highest exponent prime factors of 6371 and 6375. First we will calculate the prime factors of 6371 and 6375.
Prime Factorization of 6371
| 23 | 6371 |
| 277 | 277 |
| 1 |
Prime factors of 6371 are 23,277. Prime factorization of 6371 in exponential form is:
6371 = 231×2771
Prime Factorization of 6375
| 3 | 6375 |
| 5 | 2125 |
| 5 | 425 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 6375 are 3, 5,17. Prime factorization of 6375 in exponential form is:
6375 = 31×53×171
Now multiplying the highest exponent prime factors to calculate the LCM of 6371 and 6375.
LCM(6371,6375) = 31×53×171×231×2771
LCM(6371,6375) = 40615125
Factors of 6371
List of positive integer factors of 6371 that divides 6371 without a remainder.
1, 23, 277, 6371
Factors of 6375
List of positive integer factors of 6375 that divides 6375 without a remainder.
1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375
Least Common Multiple of 6371 and 6375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6371 and 6375, than apply into the LCM equation.
GCF(6371,6375) = 1
LCM(6371,6375) = ( 6371 × 6375) / 1
LCM(6371,6375) = 40615125 / 1
LCM(6371,6375) = 40615125
Properties of LCM 6371 and 6375
(i) The LCM of 6375 and 6371 is associative
LCM of 6371 and 6375 = LCM of 6375 and 6371
Related Least Common Multiples of 6371
Related Least Common Multiples of 6375
Frequently Asked Questions on LCM of 6371 and 6375
1. What is the LCM of 6371 and 6375?
Answer: LCM of 6371 and 6375 is 40615125.
2. What are the Factors of 6371?
Answer: Factors of 6371 are 1, 23, 277, 6371. There are 4 integers that are factors of 6371. The greatest factor of 6371 is 6371.
3. What are the Factors of 6375?
Answer: Factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375. There are 16 integers that are factors of 6375. The greatest factor of 6375 is 6375.
4. How to Find the LCM of 6371 and 6375?
Answer:
Least Common Multiple of 6371 and 6375 = 40615125
Step 1: Find the prime factorization of 6371
6371 = 23 x 277
Step 2: Find the prime factorization of 6375
6375 = 3 x 5 x 5 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40615125 = 3 x 5 x 5 x 5 x 17 x 23 x 277
Step 4: Therefore, the least common multiple of 6371 and 6375 is 40615125.