Least Common Multiple of 6363 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 6363 and 6371 the smallest integer that is 40538673 that is divisible by both numbers.
Least Common Multiple (LCM) of 6363 and 6371 is 40538673.
LCM(6363,6371) = 40538673
LCM of 6363 and 6371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6363 and 6371 by Prime method
- Least Common Multiple of 6363 and 6371 with GCF Formula
LCM of 6363 and 6371 is 40538673
Least common multiple can be found by multiplying the highest exponent prime factors of 6363 and 6371. First we will calculate the prime factors of 6363 and 6371.
Prime Factorization of 6363
| 3 | 6363 |
| 3 | 2121 |
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 6363 are 3, 7,101. Prime factorization of 6363 in exponential form is:
6363 = 32×71×1011
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 6363 and 6371.
LCM(6363,6371) = 32×71×231×1011×2771
LCM(6363,6371) = 40538673
Factors of 6363
List of positive integer factors of 6363 that divides 6363 without a remainder.
1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363
Factors of 6371
List of positive integer factors of 6371 that divides 6371 without a remainder.
1, 23, 277, 6371
Least Common Multiple of 6363 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 6363 and 6371, than apply into the LCM equation.
GCF(6363,6371) = 1
LCM(6363,6371) = ( 6363 × 6371) / 1
LCM(6363,6371) = 40538673 / 1
LCM(6363,6371) = 40538673
Properties of LCM 6363 and 6371
(i) The LCM of 6371 and 6363 is associative
LCM of 6363 and 6371 = LCM of 6371 and 6363
Related Least Common Multiples of 6363
Related Least Common Multiples of 6371
Frequently Asked Questions on LCM of 6363 and 6371
1. What is the LCM of 6363 and 6371?
Answer: LCM of 6363 and 6371 is 40538673.
2. What are the Factors of 6363?
Answer: Factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363. There are 12 integers that are factors of 6363. The greatest factor of 6363 is 6363.
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 6363 and 6371?
Answer:
Least Common Multiple of 6363 and 6371 = 40538673
Step 1: Find the prime factorization of 6363
6363 = 3 x 3 x 7 x 101
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 = 40538673 = 3 x 3 x 7 x 23 x 101 x 277
Step 4: Therefore, the least common multiple of 6363 and 6371 is 40538673.