Least Common Multiple of 10332 and 10339
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10332 and 10339 the smallest integer that is 15260364 that is divisible by both numbers.
Least Common Multiple (LCM) of 10332 and 10339 is 15260364.
LCM(10332,10339) = 15260364
LCM of 10332 and 10339
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10332 and 10339 by Prime method
- Least Common Multiple of 10332 and 10339 with GCF Formula
LCM of 10332 and 10339 is 15260364
Least common multiple can be found by multiplying the highest exponent prime factors of 10332 and 10339. First we will calculate the prime factors of 10332 and 10339.
Prime Factorization of 10332
| 2 | 10332 |
| 2 | 5166 |
| 3 | 2583 |
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 10332 are 2, 3, 7,41. Prime factorization of 10332 in exponential form is:
10332 = 22×32×71×411
Prime Factorization of 10339
| 7 | 10339 |
| 7 | 1477 |
| 211 | 211 |
| 1 |
Prime factors of 10339 are 7,211. Prime factorization of 10339 in exponential form is:
10339 = 72×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 10332 and 10339.
LCM(10332,10339) = 22×32×72×411×2111
LCM(10332,10339) = 15260364
Factors of 10332
List of positive integer factors of 10332 that divides 10332 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 63, 82, 84, 123, 126, 164, 246, 252, 287, 369, 492, 574, 738, 861, 1148, 1476, 1722, 2583, 3444, 5166, 10332
Factors of 10339
List of positive integer factors of 10339 that divides 10339 without a remainder.
1, 7, 49, 211, 1477, 10339
Least Common Multiple of 10332 and 10339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10332 and 10339, than apply into the LCM equation.
GCF(10332,10339) = 7
LCM(10332,10339) = ( 10332 × 10339) / 7
LCM(10332,10339) = 106822548 / 7
LCM(10332,10339) = 15260364
Properties of LCM 10332 and 10339
(i) The LCM of 10339 and 10332 is associative
LCM of 10332 and 10339 = LCM of 10339 and 10332
Related Least Common Multiples of 10332
Related Least Common Multiples of 10339
Frequently Asked Questions on LCM of 10332 and 10339
1. What is the LCM of 10332 and 10339?
Answer: LCM of 10332 and 10339 is 15260364.
2. What are the Factors of 10332?
Answer: Factors of 10332 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 63, 82, 84, 123, 126, 164, 246, 252, 287, 369, 492, 574, 738, 861, 1148, 1476, 1722, 2583, 3444, 5166, 10332. There are 36 integers that are factors of 10332. The greatest factor of 10332 is 10332.
3. What are the Factors of 10339?
Answer: Factors of 10339 are 1, 7, 49, 211, 1477, 10339. There are 6 integers that are factors of 10339. The greatest factor of 10339 is 10339.
4. How to Find the LCM of 10332 and 10339?
Answer:
Least Common Multiple of 10332 and 10339 = 15260364
Step 1: Find the prime factorization of 10332
10332 = 2 x 2 x 3 x 3 x 7 x 41
Step 2: Find the prime factorization of 10339
10339 = 7 x 7 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15260364 = 2 x 2 x 3 x 3 x 7 x 7 x 41 x 211
Step 4: Therefore, the least common multiple of 10332 and 10339 is 15260364.