Least Common Multiple of 10065 and 10073
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10065 and 10073 the smallest integer that is 101384745 that is divisible by both numbers.
Least Common Multiple (LCM) of 10065 and 10073 is 101384745.
LCM(10065,10073) = 101384745
LCM of 10065 and 10073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10065 and 10073 by Prime method
- Least Common Multiple of 10065 and 10073 with GCF Formula
LCM of 10065 and 10073 is 101384745
Least common multiple can be found by multiplying the highest exponent prime factors of 10065 and 10073. First we will calculate the prime factors of 10065 and 10073.
Prime Factorization of 10065
| 3 | 10065 |
| 5 | 3355 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 10065 are 3, 5, 11,61. Prime factorization of 10065 in exponential form is:
10065 = 31×51×111×611
Prime Factorization of 10073
| 7 | 10073 |
| 1439 | 1439 |
| 1 |
Prime factors of 10073 are 7,1439. Prime factorization of 10073 in exponential form is:
10073 = 71×14391
Now multiplying the highest exponent prime factors to calculate the LCM of 10065 and 10073.
LCM(10065,10073) = 31×51×71×111×611×14391
LCM(10065,10073) = 101384745
Factors of 10065
List of positive integer factors of 10065 that divides 10065 without a remainder.
1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065
Factors of 10073
List of positive integer factors of 10073 that divides 10073 without a remainder.
1, 7, 1439, 10073
Least Common Multiple of 10065 and 10073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10065 and 10073, than apply into the LCM equation.
GCF(10065,10073) = 1
LCM(10065,10073) = ( 10065 × 10073) / 1
LCM(10065,10073) = 101384745 / 1
LCM(10065,10073) = 101384745
Properties of LCM 10065 and 10073
(i) The LCM of 10073 and 10065 is associative
LCM of 10065 and 10073 = LCM of 10073 and 10065
Related Least Common Multiples of 10065
Related Least Common Multiples of 10073
Frequently Asked Questions on LCM of 10065 and 10073
1. What is the LCM of 10065 and 10073?
Answer: LCM of 10065 and 10073 is 101384745.
2. What are the Factors of 10065?
Answer: Factors of 10065 are 1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065. There are 16 integers that are factors of 10065. The greatest factor of 10065 is 10065.
3. What are the Factors of 10073?
Answer: Factors of 10073 are 1, 7, 1439, 10073. There are 4 integers that are factors of 10073. The greatest factor of 10073 is 10073.
4. How to Find the LCM of 10065 and 10073?
Answer:
Least Common Multiple of 10065 and 10073 = 101384745
Step 1: Find the prime factorization of 10065
10065 = 3 x 5 x 11 x 61
Step 2: Find the prime factorization of 10073
10073 = 7 x 1439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101384745 = 3 x 5 x 7 x 11 x 61 x 1439
Step 4: Therefore, the least common multiple of 10065 and 10073 is 101384745.