Least Common Multiple of 6317 and 6322
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6317 and 6322 the smallest integer that is 39936074 that is divisible by both numbers.
Least Common Multiple (LCM) of 6317 and 6322 is 39936074.
LCM(6317,6322) = 39936074
LCM of 6317 and 6322
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6317 and 6322 by Prime method
- Least Common Multiple of 6317 and 6322 with GCF Formula
LCM of 6317 and 6322 is 39936074
Least common multiple can be found by multiplying the highest exponent prime factors of 6317 and 6322. First we will calculate the prime factors of 6317 and 6322.
Prime Factorization of 6317
| 6317 | 6317 |
| 1 |
Prime factors of 6317 are 6317. Prime factorization of 6317 in exponential form is:
6317 = 63171
Prime Factorization of 6322
| 2 | 6322 |
| 29 | 3161 |
| 109 | 109 |
| 1 |
Prime factors of 6322 are 2, 29,109. Prime factorization of 6322 in exponential form is:
6322 = 21×291×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 6317 and 6322.
LCM(6317,6322) = 21×291×1091×63171
LCM(6317,6322) = 39936074
Factors of 6317
List of positive integer factors of 6317 that divides 6317 without a remainder.
1, 6317
Factors of 6322
List of positive integer factors of 6322 that divides 6322 without a remainder.
1, 2, 29, 58, 109, 218, 3161, 6322
Least Common Multiple of 6317 and 6322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6317 and 6322, than apply into the LCM equation.
GCF(6317,6322) = 1
LCM(6317,6322) = ( 6317 × 6322) / 1
LCM(6317,6322) = 39936074 / 1
LCM(6317,6322) = 39936074
Properties of LCM 6317 and 6322
(i) The LCM of 6322 and 6317 is associative
LCM of 6317 and 6322 = LCM of 6322 and 6317
Related Least Common Multiples of 6317
Related Least Common Multiples of 6322
Frequently Asked Questions on LCM of 6317 and 6322
1. What is the LCM of 6317 and 6322?
Answer: LCM of 6317 and 6322 is 39936074.
2. What are the Factors of 6317?
Answer: Factors of 6317 are 1, 6317. There are 2 integers that are factors of 6317. The greatest factor of 6317 is 6317.
3. What are the Factors of 6322?
Answer: Factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322. There are 8 integers that are factors of 6322. The greatest factor of 6322 is 6322.
4. How to Find the LCM of 6317 and 6322?
Answer:
Least Common Multiple of 6317 and 6322 = 39936074
Step 1: Find the prime factorization of 6317
6317 = 6317
Step 2: Find the prime factorization of 6322
6322 = 2 x 29 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39936074 = 2 x 29 x 109 x 6317
Step 4: Therefore, the least common multiple of 6317 and 6322 is 39936074.