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 6341 the smallest integer that is 40170235 that is divisible by both numbers.
Least Common Multiple (LCM) of 6335 and 6341 is 40170235.
LCM(6335,6341) = 40170235
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 6341. First we will calculate the prime factors of 6335 and 6341.
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 6341
17 | 6341 |
373 | 373 |
1 |
Prime factors of 6341 are 17,373. Prime factorization of 6341 in exponential form is:
6341 = 171×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 6335 and 6341.
LCM(6335,6341) = 51×71×171×1811×3731
LCM(6335,6341) = 40170235
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 6341
List of positive integer factors of 6341 that divides 6341 without a remainder.
1, 17, 373, 6341
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6335 and 6341, than apply into the LCM equation.
GCF(6335,6341) = 1
LCM(6335,6341) = ( 6335 × 6341) / 1
LCM(6335,6341) = 40170235 / 1
LCM(6335,6341) = 40170235
(i) The LCM of 6341 and 6335 is associative
LCM of 6335 and 6341 = LCM of 6341 and 6335
1. What is the LCM of 6335 and 6341?
Answer: LCM of 6335 and 6341 is 40170235.
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 6341?
Answer: Factors of 6341 are 1, 17, 373, 6341. There are 4 integers that are factors of 6341. The greatest factor of 6341 is 6341.
4. How to Find the LCM of 6335 and 6341?
Answer:
Least Common Multiple of 6335 and 6341 = 40170235
Step 1: Find the prime factorization of 6335
6335 = 5 x 7 x 181
Step 2: Find the prime factorization of 6341
6341 = 17 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40170235 = 5 x 7 x 17 x 181 x 373
Step 4: Therefore, the least common multiple of 6335 and 6341 is 40170235.