Least Common Multiple of 6369 and 6371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6369 and 6371 the smallest integer that is 40576899 that is divisible by both numbers.
Least Common Multiple (LCM) of 6369 and 6371 is 40576899.
LCM(6369,6371) = 40576899
LCM of 6369 and 6371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6369 and 6371 by Prime method
- Least Common Multiple of 6369 and 6371 with GCF Formula
LCM of 6369 and 6371 is 40576899
Least common multiple can be found by multiplying the highest exponent prime factors of 6369 and 6371. First we will calculate the prime factors of 6369 and 6371.
Prime Factorization of 6369
| 3 | 6369 |
| 11 | 2123 |
| 193 | 193 |
| 1 |
Prime factors of 6369 are 3, 11,193. Prime factorization of 6369 in exponential form is:
6369 = 31×111×1931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6369 and 6371.
LCM(6369,6371) = 31×111×231×1931×2771
LCM(6369,6371) = 40576899
Factors of 6369
List of positive integer factors of 6369 that divides 6369 without a remainder.
1, 3, 11, 33, 193, 579, 2123, 6369
Factors of 6371
List of positive integer factors of 6371 that divides 6371 without a remainder.
1, 23, 277, 6371
Least Common Multiple of 6369 and 6371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6369 and 6371, than apply into the LCM equation.
GCF(6369,6371) = 1
LCM(6369,6371) = ( 6369 × 6371) / 1
LCM(6369,6371) = 40576899 / 1
LCM(6369,6371) = 40576899
Properties of LCM 6369 and 6371
(i) The LCM of 6371 and 6369 is associative
LCM of 6369 and 6371 = LCM of 6371 and 6369
Related Least Common Multiples of 6369
Related Least Common Multiples of 6371
Frequently Asked Questions on LCM of 6369 and 6371
1. What is the LCM of 6369 and 6371?
Answer: LCM of 6369 and 6371 is 40576899.
2. What are the Factors of 6369?
Answer: Factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369. There are 8 integers that are factors of 6369. The greatest factor of 6369 is 6369.
3. 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.
4. How to Find the LCM of 6369 and 6371?
Answer:
Least Common Multiple of 6369 and 6371 = 40576899
Step 1: Find the prime factorization of 6369
6369 = 3 x 11 x 193
Step 2: Find the prime factorization of 6371
6371 = 23 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40576899 = 3 x 11 x 23 x 193 x 277
Step 4: Therefore, the least common multiple of 6369 and 6371 is 40576899.