Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10336 and 10341 the smallest integer that is 106884576 that is divisible by both numbers.
Least Common Multiple (LCM) of 10336 and 10341 is 106884576.
LCM(10336,10341) = 106884576
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 10336 and 10341. First we will calculate the prime factors of 10336 and 10341.
Prime Factorization of 10336
2 | 10336 |
2 | 5168 |
2 | 2584 |
2 | 1292 |
2 | 646 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 10336 are 2, 17,19. Prime factorization of 10336 in exponential form is:
10336 = 25×171×191
Prime Factorization of 10341
3 | 10341 |
3 | 3447 |
3 | 1149 |
383 | 383 |
1 |
Prime factors of 10341 are 3,383. Prime factorization of 10341 in exponential form is:
10341 = 33×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 10336 and 10341.
LCM(10336,10341) = 25×33×171×191×3831
LCM(10336,10341) = 106884576
Factors of 10336
List of positive integer factors of 10336 that divides 10336 without a remainder.
1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168, 10336
Factors of 10341
List of positive integer factors of 10341 that divides 10341 without a remainder.
1, 3, 9, 27, 383, 1149, 3447, 10341
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10336 and 10341, than apply into the LCM equation.
GCF(10336,10341) = 1
LCM(10336,10341) = ( 10336 × 10341) / 1
LCM(10336,10341) = 106884576 / 1
LCM(10336,10341) = 106884576
(i) The LCM of 10341 and 10336 is associative
LCM of 10336 and 10341 = LCM of 10341 and 10336
1. What is the LCM of 10336 and 10341?
Answer: LCM of 10336 and 10341 is 106884576.
2. What are the Factors of 10336?
Answer: Factors of 10336 are 1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168, 10336. There are 24 integers that are factors of 10336. The greatest factor of 10336 is 10336.
3. What are the Factors of 10341?
Answer: Factors of 10341 are 1, 3, 9, 27, 383, 1149, 3447, 10341. There are 8 integers that are factors of 10341. The greatest factor of 10341 is 10341.
4. How to Find the LCM of 10336 and 10341?
Answer:
Least Common Multiple of 10336 and 10341 = 106884576
Step 1: Find the prime factorization of 10336
10336 = 2 x 2 x 2 x 2 x 2 x 17 x 19
Step 2: Find the prime factorization of 10341
10341 = 3 x 3 x 3 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106884576 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 x 383
Step 4: Therefore, the least common multiple of 10336 and 10341 is 106884576.