Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6335 and 6340 the smallest integer that is 8032780 that is divisible by both numbers.
Least Common Multiple (LCM) of 6335 and 6340 is 8032780.
LCM(6335,6340) = 8032780
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6335 and 6340. First we will calculate the prime factors of 6335 and 6340.
Prime Factorization of 6335
5 | 6335 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 6335 are 5, 7,181. Prime factorization of 6335 in exponential form is:
6335 = 51×71×1811
Prime Factorization of 6340
2 | 6340 |
2 | 3170 |
5 | 1585 |
317 | 317 |
1 |
Prime factors of 6340 are 2, 5,317. Prime factorization of 6340 in exponential form is:
6340 = 22×51×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 6335 and 6340.
LCM(6335,6340) = 22×51×71×1811×3171
LCM(6335,6340) = 8032780
Factors of 6335
List of positive integer factors of 6335 that divides 6335 without a remainder.
1, 5, 7, 35, 181, 905, 1267, 6335
Factors of 6340
List of positive integer factors of 6340 that divides 6340 without a remainder.
1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6335 and 6340, than apply into the LCM equation.
GCF(6335,6340) = 5
LCM(6335,6340) = ( 6335 × 6340) / 5
LCM(6335,6340) = 40163900 / 5
LCM(6335,6340) = 8032780
(i) The LCM of 6340 and 6335 is associative
LCM of 6335 and 6340 = LCM of 6340 and 6335
1. What is the LCM of 6335 and 6340?
Answer: LCM of 6335 and 6340 is 8032780.
2. What are the Factors of 6335?
Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.
3. What are the Factors of 6340?
Answer: Factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340. There are 12 integers that are factors of 6340. The greatest factor of 6340 is 6340.
4. How to Find the LCM of 6335 and 6340?
Answer:
Least Common Multiple of 6335 and 6340 = 8032780
Step 1: Find the prime factorization of 6335
6335 = 5 x 7 x 181
Step 2: Find the prime factorization of 6340
6340 = 2 x 2 x 5 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8032780 = 2 x 2 x 5 x 7 x 181 x 317
Step 4: Therefore, the least common multiple of 6335 and 6340 is 8032780.