Least Common Multiple of 6365 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 6365 and 6371 the smallest integer that is 40551415 that is divisible by both numbers.
Least Common Multiple (LCM) of 6365 and 6371 is 40551415.
LCM(6365,6371) = 40551415
LCM of 6365 and 6371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6365 and 6371 by Prime method
- Least Common Multiple of 6365 and 6371 with GCF Formula
LCM of 6365 and 6371 is 40551415
Least common multiple can be found by multiplying the highest exponent prime factors of 6365 and 6371. First we will calculate the prime factors of 6365 and 6371.
Prime Factorization of 6365
| 5 | 6365 |
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 6365 are 5, 19,67. Prime factorization of 6365 in exponential form is:
6365 = 51×191×671
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 6365 and 6371.
LCM(6365,6371) = 51×191×231×671×2771
LCM(6365,6371) = 40551415
Factors of 6365
List of positive integer factors of 6365 that divides 6365 without a remainder.
1, 5, 19, 67, 95, 335, 1273, 6365
Factors of 6371
List of positive integer factors of 6371 that divides 6371 without a remainder.
1, 23, 277, 6371
Least Common Multiple of 6365 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 6365 and 6371, than apply into the LCM equation.
GCF(6365,6371) = 1
LCM(6365,6371) = ( 6365 × 6371) / 1
LCM(6365,6371) = 40551415 / 1
LCM(6365,6371) = 40551415
Properties of LCM 6365 and 6371
(i) The LCM of 6371 and 6365 is associative
LCM of 6365 and 6371 = LCM of 6371 and 6365
Related Least Common Multiples of 6365
Related Least Common Multiples of 6371
Frequently Asked Questions on LCM of 6365 and 6371
1. What is the LCM of 6365 and 6371?
Answer: LCM of 6365 and 6371 is 40551415.
2. What are the Factors of 6365?
Answer: Factors of 6365 are 1, 5, 19, 67, 95, 335, 1273, 6365. There are 8 integers that are factors of 6365. The greatest factor of 6365 is 6365.
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 6365 and 6371?
Answer:
Least Common Multiple of 6365 and 6371 = 40551415
Step 1: Find the prime factorization of 6365
6365 = 5 x 19 x 67
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 = 40551415 = 5 x 19 x 23 x 67 x 277
Step 4: Therefore, the least common multiple of 6365 and 6371 is 40551415.