Least Common Multiple of 36027 and 36035
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36027 and 36035 the smallest integer that is 1298232945 that is divisible by both numbers.
Least Common Multiple (LCM) of 36027 and 36035 is 1298232945.
LCM(36027,36035) = 1298232945
LCM of 36027 and 36035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36027 and 36035 by Prime method
- Least Common Multiple of 36027 and 36035 with GCF Formula
LCM of 36027 and 36035 is 1298232945
Least common multiple can be found by multiplying the highest exponent prime factors of 36027 and 36035. First we will calculate the prime factors of 36027 and 36035.
Prime Factorization of 36027
| 3 | 36027 |
| 3 | 12009 |
| 4003 | 4003 |
| 1 |
Prime factors of 36027 are 3,4003. Prime factorization of 36027 in exponential form is:
36027 = 32×40031
Prime Factorization of 36035
| 5 | 36035 |
| 7207 | 7207 |
| 1 |
Prime factors of 36035 are 5,7207. Prime factorization of 36035 in exponential form is:
36035 = 51×72071
Now multiplying the highest exponent prime factors to calculate the LCM of 36027 and 36035.
LCM(36027,36035) = 32×51×40031×72071
LCM(36027,36035) = 1298232945
Factors of 36027
List of positive integer factors of 36027 that divides 36027 without a remainder.
1, 3, 9, 4003, 12009, 36027
Factors of 36035
List of positive integer factors of 36035 that divides 36035 without a remainder.
1, 5, 7207, 36035
Least Common Multiple of 36027 and 36035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36027 and 36035, than apply into the LCM equation.
GCF(36027,36035) = 1
LCM(36027,36035) = ( 36027 × 36035) / 1
LCM(36027,36035) = 1298232945 / 1
LCM(36027,36035) = 1298232945
Properties of LCM 36027 and 36035
(i) The LCM of 36035 and 36027 is associative
LCM of 36027 and 36035 = LCM of 36035 and 36027
Related Least Common Multiples of 36027
Related Least Common Multiples of 36035
Frequently Asked Questions on LCM of 36027 and 36035
1. What is the LCM of 36027 and 36035?
Answer: LCM of 36027 and 36035 is 1298232945.
2. What are the Factors of 36027?
Answer: Factors of 36027 are 1, 3, 9, 4003, 12009, 36027. There are 6 integers that are factors of 36027. The greatest factor of 36027 is 36027.
3. What are the Factors of 36035?
Answer: Factors of 36035 are 1, 5, 7207, 36035. There are 4 integers that are factors of 36035. The greatest factor of 36035 is 36035.
4. How to Find the LCM of 36027 and 36035?
Answer:
Least Common Multiple of 36027 and 36035 = 1298232945
Step 1: Find the prime factorization of 36027
36027 = 3 x 3 x 4003
Step 2: Find the prime factorization of 36035
36035 = 5 x 7207
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1298232945 = 3 x 3 x 5 x 4003 x 7207
Step 4: Therefore, the least common multiple of 36027 and 36035 is 1298232945.