Least Common Multiple of 36001 and 36007
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36001 and 36007 the smallest integer that is 1296288007 that is divisible by both numbers.
Least Common Multiple (LCM) of 36001 and 36007 is 1296288007.
LCM(36001,36007) = 1296288007
LCM of 36001 and 36007
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36001 and 36007 by Prime method
- Least Common Multiple of 36001 and 36007 with GCF Formula
LCM of 36001 and 36007 is 1296288007
Least common multiple can be found by multiplying the highest exponent prime factors of 36001 and 36007. First we will calculate the prime factors of 36001 and 36007.
Prime Factorization of 36001
| 7 | 36001 |
| 37 | 5143 |
| 139 | 139 |
| 1 |
Prime factors of 36001 are 7, 37,139. Prime factorization of 36001 in exponential form is:
36001 = 71×371×1391
Prime Factorization of 36007
| 36007 | 36007 |
| 1 |
Prime factors of 36007 are 36007. Prime factorization of 36007 in exponential form is:
36007 = 360071
Now multiplying the highest exponent prime factors to calculate the LCM of 36001 and 36007.
LCM(36001,36007) = 71×371×1391×360071
LCM(36001,36007) = 1296288007
Factors of 36001
List of positive integer factors of 36001 that divides 36001 without a remainder.
1, 7, 37, 139, 259, 973, 5143, 36001
Factors of 36007
List of positive integer factors of 36007 that divides 36007 without a remainder.
1, 36007
Least Common Multiple of 36001 and 36007 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36001 and 36007, than apply into the LCM equation.
GCF(36001,36007) = 1
LCM(36001,36007) = ( 36001 × 36007) / 1
LCM(36001,36007) = 1296288007 / 1
LCM(36001,36007) = 1296288007
Properties of LCM 36001 and 36007
(i) The LCM of 36007 and 36001 is associative
LCM of 36001 and 36007 = LCM of 36007 and 36001
Related Least Common Multiples of 36001
Related Least Common Multiples of 36007
Frequently Asked Questions on LCM of 36001 and 36007
1. What is the LCM of 36001 and 36007?
Answer: LCM of 36001 and 36007 is 1296288007.
2. What are the Factors of 36001?
Answer: Factors of 36001 are 1, 7, 37, 139, 259, 973, 5143, 36001. There are 8 integers that are factors of 36001. The greatest factor of 36001 is 36001.
3. What are the Factors of 36007?
Answer: Factors of 36007 are 1, 36007. There are 2 integers that are factors of 36007. The greatest factor of 36007 is 36007.
4. How to Find the LCM of 36001 and 36007?
Answer:
Least Common Multiple of 36001 and 36007 = 1296288007
Step 1: Find the prime factorization of 36001
36001 = 7 x 37 x 139
Step 2: Find the prime factorization of 36007
36007 = 36007
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1296288007 = 7 x 37 x 139 x 36007
Step 4: Therefore, the least common multiple of 36001 and 36007 is 1296288007.