Least Common Multiple of 9039 and 9047
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9039 and 9047 the smallest integer that is 81775833 that is divisible by both numbers.
Least Common Multiple (LCM) of 9039 and 9047 is 81775833.
LCM(9039,9047) = 81775833
LCM of 9039 and 9047
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9039 and 9047 by Prime method
- Least Common Multiple of 9039 and 9047 with GCF Formula
LCM of 9039 and 9047 is 81775833
Least common multiple can be found by multiplying the highest exponent prime factors of 9039 and 9047. First we will calculate the prime factors of 9039 and 9047.
Prime Factorization of 9039
| 3 | 9039 |
| 23 | 3013 |
| 131 | 131 |
| 1 |
Prime factors of 9039 are 3, 23,131. Prime factorization of 9039 in exponential form is:
9039 = 31×231×1311
Prime Factorization of 9047
| 83 | 9047 |
| 109 | 109 |
| 1 |
Prime factors of 9047 are 83,109. Prime factorization of 9047 in exponential form is:
9047 = 831×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 9039 and 9047.
LCM(9039,9047) = 31×231×831×1091×1311
LCM(9039,9047) = 81775833
Factors of 9039
List of positive integer factors of 9039 that divides 9039 without a remainder.
1, 3, 23, 69, 131, 393, 3013, 9039
Factors of 9047
List of positive integer factors of 9047 that divides 9047 without a remainder.
1, 83, 109, 9047
Least Common Multiple of 9039 and 9047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9039 and 9047, than apply into the LCM equation.
GCF(9039,9047) = 1
LCM(9039,9047) = ( 9039 × 9047) / 1
LCM(9039,9047) = 81775833 / 1
LCM(9039,9047) = 81775833
Properties of LCM 9039 and 9047
(i) The LCM of 9047 and 9039 is associative
LCM of 9039 and 9047 = LCM of 9047 and 9039
Related Least Common Multiples of 9039
Related Least Common Multiples of 9047
Frequently Asked Questions on LCM of 9039 and 9047
1. What is the LCM of 9039 and 9047?
Answer: LCM of 9039 and 9047 is 81775833.
2. What are the Factors of 9039?
Answer: Factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039. There are 8 integers that are factors of 9039. The greatest factor of 9039 is 9039.
3. What are the Factors of 9047?
Answer: Factors of 9047 are 1, 83, 109, 9047. There are 4 integers that are factors of 9047. The greatest factor of 9047 is 9047.
4. How to Find the LCM of 9039 and 9047?
Answer:
Least Common Multiple of 9039 and 9047 = 81775833
Step 1: Find the prime factorization of 9039
9039 = 3 x 23 x 131
Step 2: Find the prime factorization of 9047
9047 = 83 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81775833 = 3 x 23 x 83 x 109 x 131
Step 4: Therefore, the least common multiple of 9039 and 9047 is 81775833.