Least Common Multiple of 9031 and 9036
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9031 and 9036 the smallest integer that is 81604116 that is divisible by both numbers.
Least Common Multiple (LCM) of 9031 and 9036 is 81604116.
LCM(9031,9036) = 81604116
LCM of 9031 and 9036
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9031 and 9036 by Prime method
- Least Common Multiple of 9031 and 9036 with GCF Formula
LCM of 9031 and 9036 is 81604116
Least common multiple can be found by multiplying the highest exponent prime factors of 9031 and 9036. First we will calculate the prime factors of 9031 and 9036.
Prime Factorization of 9031
| 11 | 9031 |
| 821 | 821 |
| 1 |
Prime factors of 9031 are 11,821. Prime factorization of 9031 in exponential form is:
9031 = 111×8211
Prime Factorization of 9036
| 2 | 9036 |
| 2 | 4518 |
| 3 | 2259 |
| 3 | 753 |
| 251 | 251 |
| 1 |
Prime factors of 9036 are 2, 3,251. Prime factorization of 9036 in exponential form is:
9036 = 22×32×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 9031 and 9036.
LCM(9031,9036) = 22×32×111×2511×8211
LCM(9031,9036) = 81604116
Factors of 9031
List of positive integer factors of 9031 that divides 9031 without a remainder.
1, 11, 821, 9031
Factors of 9036
List of positive integer factors of 9036 that divides 9036 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036
Least Common Multiple of 9031 and 9036 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9031 and 9036, than apply into the LCM equation.
GCF(9031,9036) = 1
LCM(9031,9036) = ( 9031 × 9036) / 1
LCM(9031,9036) = 81604116 / 1
LCM(9031,9036) = 81604116
Properties of LCM 9031 and 9036
(i) The LCM of 9036 and 9031 is associative
LCM of 9031 and 9036 = LCM of 9036 and 9031
Related Least Common Multiples of 9031
Related Least Common Multiples of 9036
Frequently Asked Questions on LCM of 9031 and 9036
1. What is the LCM of 9031 and 9036?
Answer: LCM of 9031 and 9036 is 81604116.
2. What are the Factors of 9031?
Answer: Factors of 9031 are 1, 11, 821, 9031. There are 4 integers that are factors of 9031. The greatest factor of 9031 is 9031.
3. What are the Factors of 9036?
Answer: Factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036. There are 18 integers that are factors of 9036. The greatest factor of 9036 is 9036.
4. How to Find the LCM of 9031 and 9036?
Answer:
Least Common Multiple of 9031 and 9036 = 81604116
Step 1: Find the prime factorization of 9031
9031 = 11 x 821
Step 2: Find the prime factorization of 9036
9036 = 2 x 2 x 3 x 3 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81604116 = 2 x 2 x 3 x 3 x 11 x 251 x 821
Step 4: Therefore, the least common multiple of 9031 and 9036 is 81604116.