Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10334 and 10341 the smallest integer that is 106863894 that is divisible by both numbers.
Least Common Multiple (LCM) of 10334 and 10341 is 106863894.
LCM(10334,10341) = 106863894
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 10334 and 10341. First we will calculate the prime factors of 10334 and 10341.
Prime Factorization of 10334
2 | 10334 |
5167 | 5167 |
1 |
Prime factors of 10334 are 2,5167. Prime factorization of 10334 in exponential form is:
10334 = 21×51671
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 10334 and 10341.
LCM(10334,10341) = 21×33×3831×51671
LCM(10334,10341) = 106863894
Factors of 10334
List of positive integer factors of 10334 that divides 10334 without a remainder.
1, 2, 5167, 10334
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 10334 and 10341, than apply into the LCM equation.
GCF(10334,10341) = 1
LCM(10334,10341) = ( 10334 × 10341) / 1
LCM(10334,10341) = 106863894 / 1
LCM(10334,10341) = 106863894
(i) The LCM of 10341 and 10334 is associative
LCM of 10334 and 10341 = LCM of 10341 and 10334
1. What is the LCM of 10334 and 10341?
Answer: LCM of 10334 and 10341 is 106863894.
2. What are the Factors of 10334?
Answer: Factors of 10334 are 1, 2, 5167, 10334. There are 4 integers that are factors of 10334. The greatest factor of 10334 is 10334.
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 10334 and 10341?
Answer:
Least Common Multiple of 10334 and 10341 = 106863894
Step 1: Find the prime factorization of 10334
10334 = 2 x 5167
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 = 106863894 = 2 x 3 x 3 x 3 x 383 x 5167
Step 4: Therefore, the least common multiple of 10334 and 10341 is 106863894.