Least Common Multiple of 10065 and 10069
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 10069 the smallest integer that is 101344485 that is divisible by both numbers.
Least Common Multiple (LCM) of 10065 and 10069 is 101344485.
LCM(10065,10069) = 101344485
LCM of 10065 and 10069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10065 and 10069 by Prime method
- Least Common Multiple of 10065 and 10069 with GCF Formula
LCM of 10065 and 10069 is 101344485
Least common multiple can be found by multiplying the highest exponent prime factors of 10065 and 10069. First we will calculate the prime factors of 10065 and 10069.
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 10069
| 10069 | 10069 |
| 1 |
Prime factors of 10069 are 10069. Prime factorization of 10069 in exponential form is:
10069 = 100691
Now multiplying the highest exponent prime factors to calculate the LCM of 10065 and 10069.
LCM(10065,10069) = 31×51×111×611×100691
LCM(10065,10069) = 101344485
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 10069
List of positive integer factors of 10069 that divides 10069 without a remainder.
1, 10069
Least Common Multiple of 10065 and 10069 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 10069, than apply into the LCM equation.
GCF(10065,10069) = 1
LCM(10065,10069) = ( 10065 × 10069) / 1
LCM(10065,10069) = 101344485 / 1
LCM(10065,10069) = 101344485
Properties of LCM 10065 and 10069
(i) The LCM of 10069 and 10065 is associative
LCM of 10065 and 10069 = LCM of 10069 and 10065
Related Least Common Multiples of 10065
Related Least Common Multiples of 10069
Frequently Asked Questions on LCM of 10065 and 10069
1. What is the LCM of 10065 and 10069?
Answer: LCM of 10065 and 10069 is 101344485.
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 10069?
Answer: Factors of 10069 are 1, 10069. There are 2 integers that are factors of 10069. The greatest factor of 10069 is 10069.
4. How to Find the LCM of 10065 and 10069?
Answer:
Least Common Multiple of 10065 and 10069 = 101344485
Step 1: Find the prime factorization of 10065
10065 = 3 x 5 x 11 x 61
Step 2: Find the prime factorization of 10069
10069 = 10069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101344485 = 3 x 5 x 11 x 61 x 10069
Step 4: Therefore, the least common multiple of 10065 and 10069 is 101344485.