Least Common Multiple of 6357 and 6362
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6357 and 6362 the smallest integer that is 40443234 that is divisible by both numbers.
Least Common Multiple (LCM) of 6357 and 6362 is 40443234.
LCM(6357,6362) = 40443234
LCM of 6357 and 6362
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6357 and 6362 by Prime method
- Least Common Multiple of 6357 and 6362 with GCF Formula
LCM of 6357 and 6362 is 40443234
Least common multiple can be found by multiplying the highest exponent prime factors of 6357 and 6362. First we will calculate the prime factors of 6357 and 6362.
Prime Factorization of 6357
| 3 | 6357 |
| 13 | 2119 |
| 163 | 163 |
| 1 |
Prime factors of 6357 are 3, 13,163. Prime factorization of 6357 in exponential form is:
6357 = 31×131×1631
Prime Factorization of 6362
| 2 | 6362 |
| 3181 | 3181 |
| 1 |
Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:
6362 = 21×31811
Now multiplying the highest exponent prime factors to calculate the LCM of 6357 and 6362.
LCM(6357,6362) = 21×31×131×1631×31811
LCM(6357,6362) = 40443234
Factors of 6357
List of positive integer factors of 6357 that divides 6357 without a remainder.
1, 3, 13, 39, 163, 489, 2119, 6357
Factors of 6362
List of positive integer factors of 6362 that divides 6362 without a remainder.
1, 2, 3181, 6362
Least Common Multiple of 6357 and 6362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6357 and 6362, than apply into the LCM equation.
GCF(6357,6362) = 1
LCM(6357,6362) = ( 6357 × 6362) / 1
LCM(6357,6362) = 40443234 / 1
LCM(6357,6362) = 40443234
Properties of LCM 6357 and 6362
(i) The LCM of 6362 and 6357 is associative
LCM of 6357 and 6362 = LCM of 6362 and 6357
Related Least Common Multiples of 6357
Related Least Common Multiples of 6362
Frequently Asked Questions on LCM of 6357 and 6362
1. What is the LCM of 6357 and 6362?
Answer: LCM of 6357 and 6362 is 40443234.
2. What are the Factors of 6357?
Answer: Factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357. There are 8 integers that are factors of 6357. The greatest factor of 6357 is 6357.
3. What are the Factors of 6362?
Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.
4. How to Find the LCM of 6357 and 6362?
Answer:
Least Common Multiple of 6357 and 6362 = 40443234
Step 1: Find the prime factorization of 6357
6357 = 3 x 13 x 163
Step 2: Find the prime factorization of 6362
6362 = 2 x 3181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40443234 = 2 x 3 x 13 x 163 x 3181
Step 4: Therefore, the least common multiple of 6357 and 6362 is 40443234.