Least Common Multiple of 10332 and 10337
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 10337 the smallest integer that is 106801884 that is divisible by both numbers.
Least Common Multiple (LCM) of 10332 and 10337 is 106801884.
LCM(10332,10337) = 106801884
LCM of 10332 and 10337
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10332 and 10337 by Prime method
- Least Common Multiple of 10332 and 10337 with GCF Formula
LCM of 10332 and 10337 is 106801884
Least common multiple can be found by multiplying the highest exponent prime factors of 10332 and 10337. First we will calculate the prime factors of 10332 and 10337.
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 10337
| 10337 | 10337 |
| 1 |
Prime factors of 10337 are 10337. Prime factorization of 10337 in exponential form is:
10337 = 103371
Now multiplying the highest exponent prime factors to calculate the LCM of 10332 and 10337.
LCM(10332,10337) = 22×32×71×411×103371
LCM(10332,10337) = 106801884
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 10337
List of positive integer factors of 10337 that divides 10337 without a remainder.
1, 10337
Least Common Multiple of 10332 and 10337 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 10337, than apply into the LCM equation.
GCF(10332,10337) = 1
LCM(10332,10337) = ( 10332 × 10337) / 1
LCM(10332,10337) = 106801884 / 1
LCM(10332,10337) = 106801884
Properties of LCM 10332 and 10337
(i) The LCM of 10337 and 10332 is associative
LCM of 10332 and 10337 = LCM of 10337 and 10332
Related Least Common Multiples of 10332
Related Least Common Multiples of 10337
Frequently Asked Questions on LCM of 10332 and 10337
1. What is the LCM of 10332 and 10337?
Answer: LCM of 10332 and 10337 is 106801884.
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 10337?
Answer: Factors of 10337 are 1, 10337. There are 2 integers that are factors of 10337. The greatest factor of 10337 is 10337.
4. How to Find the LCM of 10332 and 10337?
Answer:
Least Common Multiple of 10332 and 10337 = 106801884
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 10337
10337 = 10337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106801884 = 2 x 2 x 3 x 3 x 7 x 41 x 10337
Step 4: Therefore, the least common multiple of 10332 and 10337 is 106801884.