Least Common Multiple of 6375 and 6383
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6375 and 6383 the smallest integer that is 40691625 that is divisible by both numbers.
Least Common Multiple (LCM) of 6375 and 6383 is 40691625.
LCM(6375,6383) = 40691625
LCM of 6375 and 6383
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6375 and 6383 by Prime method
- Least Common Multiple of 6375 and 6383 with GCF Formula
LCM of 6375 and 6383 is 40691625
Least common multiple can be found by multiplying the highest exponent prime factors of 6375 and 6383. First we will calculate the prime factors of 6375 and 6383.
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
Prime Factorization of 6383
| 13 | 6383 |
| 491 | 491 |
| 1 |
Prime factors of 6383 are 13,491. Prime factorization of 6383 in exponential form is:
6383 = 131×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 6375 and 6383.
LCM(6375,6383) = 31×53×131×171×4911
LCM(6375,6383) = 40691625
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
Factors of 6383
List of positive integer factors of 6383 that divides 6383 without a remainder.
1, 13, 491, 6383
Least Common Multiple of 6375 and 6383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6375 and 6383, than apply into the LCM equation.
GCF(6375,6383) = 1
LCM(6375,6383) = ( 6375 × 6383) / 1
LCM(6375,6383) = 40691625 / 1
LCM(6375,6383) = 40691625
Properties of LCM 6375 and 6383
(i) The LCM of 6383 and 6375 is associative
LCM of 6375 and 6383 = LCM of 6383 and 6375
Related Least Common Multiples of 6375
Related Least Common Multiples of 6383
Frequently Asked Questions on LCM of 6375 and 6383
1. What is the LCM of 6375 and 6383?
Answer: LCM of 6375 and 6383 is 40691625.
2. 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.
3. What are the Factors of 6383?
Answer: Factors of 6383 are 1, 13, 491, 6383. There are 4 integers that are factors of 6383. The greatest factor of 6383 is 6383.
4. How to Find the LCM of 6375 and 6383?
Answer:
Least Common Multiple of 6375 and 6383 = 40691625
Step 1: Find the prime factorization of 6375
6375 = 3 x 5 x 5 x 5 x 17
Step 2: Find the prime factorization of 6383
6383 = 13 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40691625 = 3 x 5 x 5 x 5 x 13 x 17 x 491
Step 4: Therefore, the least common multiple of 6375 and 6383 is 40691625.