Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13065 and 13069 the smallest integer that is 170746485 that is divisible by both numbers.
Least Common Multiple (LCM) of 13065 and 13069 is 170746485.
LCM(13065,13069) = 170746485
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 13065 and 13069. First we will calculate the prime factors of 13065 and 13069.
Prime Factorization of 13065
3 | 13065 |
5 | 4355 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 13065 are 3, 5, 13,67. Prime factorization of 13065 in exponential form is:
13065 = 31×51×131×671
Prime Factorization of 13069
7 | 13069 |
1867 | 1867 |
1 |
Prime factors of 13069 are 7,1867. Prime factorization of 13069 in exponential form is:
13069 = 71×18671
Now multiplying the highest exponent prime factors to calculate the LCM of 13065 and 13069.
LCM(13065,13069) = 31×51×71×131×671×18671
LCM(13065,13069) = 170746485
Factors of 13065
List of positive integer factors of 13065 that divides 13065 without a remainder.
1, 3, 5, 13, 15, 39, 65, 67, 195, 201, 335, 871, 1005, 2613, 4355, 13065
Factors of 13069
List of positive integer factors of 13069 that divides 13069 without a remainder.
1, 7, 1867, 13069
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13065 and 13069, than apply into the LCM equation.
GCF(13065,13069) = 1
LCM(13065,13069) = ( 13065 × 13069) / 1
LCM(13065,13069) = 170746485 / 1
LCM(13065,13069) = 170746485
(i) The LCM of 13069 and 13065 is associative
LCM of 13065 and 13069 = LCM of 13069 and 13065
1. What is the LCM of 13065 and 13069?
Answer: LCM of 13065 and 13069 is 170746485.
2. What are the Factors of 13065?
Answer: Factors of 13065 are 1, 3, 5, 13, 15, 39, 65, 67, 195, 201, 335, 871, 1005, 2613, 4355, 13065. There are 16 integers that are factors of 13065. The greatest factor of 13065 is 13065.
3. What are the Factors of 13069?
Answer: Factors of 13069 are 1, 7, 1867, 13069. There are 4 integers that are factors of 13069. The greatest factor of 13069 is 13069.
4. How to Find the LCM of 13065 and 13069?
Answer:
Least Common Multiple of 13065 and 13069 = 170746485
Step 1: Find the prime factorization of 13065
13065 = 3 x 5 x 13 x 67
Step 2: Find the prime factorization of 13069
13069 = 7 x 1867
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 170746485 = 3 x 5 x 7 x 13 x 67 x 1867
Step 4: Therefore, the least common multiple of 13065 and 13069 is 170746485.