Least Common Multiple of 36005 and 36013
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36005 and 36013 the smallest integer that is 1296648065 that is divisible by both numbers.
Least Common Multiple (LCM) of 36005 and 36013 is 1296648065.
LCM(36005,36013) = 1296648065
LCM of 36005 and 36013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36005 and 36013 by Prime method
- Least Common Multiple of 36005 and 36013 with GCF Formula
LCM of 36005 and 36013 is 1296648065
Least common multiple can be found by multiplying the highest exponent prime factors of 36005 and 36013. First we will calculate the prime factors of 36005 and 36013.
Prime Factorization of 36005
| 5 | 36005 |
| 19 | 7201 |
| 379 | 379 |
| 1 |
Prime factors of 36005 are 5, 19,379. Prime factorization of 36005 in exponential form is:
36005 = 51×191×3791
Prime Factorization of 36013
| 36013 | 36013 |
| 1 |
Prime factors of 36013 are 36013. Prime factorization of 36013 in exponential form is:
36013 = 360131
Now multiplying the highest exponent prime factors to calculate the LCM of 36005 and 36013.
LCM(36005,36013) = 51×191×3791×360131
LCM(36005,36013) = 1296648065
Factors of 36005
List of positive integer factors of 36005 that divides 36005 without a remainder.
1, 5, 19, 95, 379, 1895, 7201, 36005
Factors of 36013
List of positive integer factors of 36013 that divides 36013 without a remainder.
1, 36013
Least Common Multiple of 36005 and 36013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36005 and 36013, than apply into the LCM equation.
GCF(36005,36013) = 1
LCM(36005,36013) = ( 36005 × 36013) / 1
LCM(36005,36013) = 1296648065 / 1
LCM(36005,36013) = 1296648065
Properties of LCM 36005 and 36013
(i) The LCM of 36013 and 36005 is associative
LCM of 36005 and 36013 = LCM of 36013 and 36005
Related Least Common Multiples of 36005
Related Least Common Multiples of 36013
Frequently Asked Questions on LCM of 36005 and 36013
1. What is the LCM of 36005 and 36013?
Answer: LCM of 36005 and 36013 is 1296648065.
2. What are the Factors of 36005?
Answer: Factors of 36005 are 1, 5, 19, 95, 379, 1895, 7201, 36005. There are 8 integers that are factors of 36005. The greatest factor of 36005 is 36005.
3. What are the Factors of 36013?
Answer: Factors of 36013 are 1, 36013. There are 2 integers that are factors of 36013. The greatest factor of 36013 is 36013.
4. How to Find the LCM of 36005 and 36013?
Answer:
Least Common Multiple of 36005 and 36013 = 1296648065
Step 1: Find the prime factorization of 36005
36005 = 5 x 19 x 379
Step 2: Find the prime factorization of 36013
36013 = 36013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1296648065 = 5 x 19 x 379 x 36013
Step 4: Therefore, the least common multiple of 36005 and 36013 is 1296648065.