Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6334 and 6341 the smallest integer that is 40163894 that is divisible by both numbers.
Least Common Multiple (LCM) of 6334 and 6341 is 40163894.
LCM(6334,6341) = 40163894
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 6334 and 6341. First we will calculate the prime factors of 6334 and 6341.
Prime Factorization of 6334
2 | 6334 |
3167 | 3167 |
1 |
Prime factors of 6334 are 2,3167. Prime factorization of 6334 in exponential form is:
6334 = 21×31671
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 6334 and 6341.
LCM(6334,6341) = 21×171×3731×31671
LCM(6334,6341) = 40163894
Factors of 6334
List of positive integer factors of 6334 that divides 6334 without a remainder.
1, 2, 3167, 6334
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 6334 and 6341, than apply into the LCM equation.
GCF(6334,6341) = 1
LCM(6334,6341) = ( 6334 × 6341) / 1
LCM(6334,6341) = 40163894 / 1
LCM(6334,6341) = 40163894
(i) The LCM of 6341 and 6334 is associative
LCM of 6334 and 6341 = LCM of 6341 and 6334
1. What is the LCM of 6334 and 6341?
Answer: LCM of 6334 and 6341 is 40163894.
2. What are the Factors of 6334?
Answer: Factors of 6334 are 1, 2, 3167, 6334. There are 4 integers that are factors of 6334. The greatest factor of 6334 is 6334.
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 6334 and 6341?
Answer:
Least Common Multiple of 6334 and 6341 = 40163894
Step 1: Find the prime factorization of 6334
6334 = 2 x 3167
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 = 40163894 = 2 x 17 x 373 x 3167
Step 4: Therefore, the least common multiple of 6334 and 6341 is 40163894.