Least Common Multiple of 9013 and 9020
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9013 and 9020 the smallest integer that is 81297260 that is divisible by both numbers.
Least Common Multiple (LCM) of 9013 and 9020 is 81297260.
LCM(9013,9020) = 81297260
LCM of 9013 and 9020
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9013 and 9020 by Prime method
- Least Common Multiple of 9013 and 9020 with GCF Formula
LCM of 9013 and 9020 is 81297260
Least common multiple can be found by multiplying the highest exponent prime factors of 9013 and 9020. First we will calculate the prime factors of 9013 and 9020.
Prime Factorization of 9013
| 9013 | 9013 |
| 1 |
Prime factors of 9013 are 9013. Prime factorization of 9013 in exponential form is:
9013 = 90131
Prime Factorization of 9020
| 2 | 9020 |
| 2 | 4510 |
| 5 | 2255 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 9020 are 2, 5, 11,41. Prime factorization of 9020 in exponential form is:
9020 = 22×51×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 9013 and 9020.
LCM(9013,9020) = 22×51×111×411×90131
LCM(9013,9020) = 81297260
Factors of 9013
List of positive integer factors of 9013 that divides 9013 without a remainder.
1, 9013
Factors of 9020
List of positive integer factors of 9020 that divides 9020 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020
Least Common Multiple of 9013 and 9020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9013 and 9020, than apply into the LCM equation.
GCF(9013,9020) = 1
LCM(9013,9020) = ( 9013 × 9020) / 1
LCM(9013,9020) = 81297260 / 1
LCM(9013,9020) = 81297260
Properties of LCM 9013 and 9020
(i) The LCM of 9020 and 9013 is associative
LCM of 9013 and 9020 = LCM of 9020 and 9013
Related Least Common Multiples of 9013
Related Least Common Multiples of 9020
Frequently Asked Questions on LCM of 9013 and 9020
1. What is the LCM of 9013 and 9020?
Answer: LCM of 9013 and 9020 is 81297260.
2. What are the Factors of 9013?
Answer: Factors of 9013 are 1, 9013. There are 2 integers that are factors of 9013. The greatest factor of 9013 is 9013.
3. What are the Factors of 9020?
Answer: Factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020. There are 24 integers that are factors of 9020. The greatest factor of 9020 is 9020.
4. How to Find the LCM of 9013 and 9020?
Answer:
Least Common Multiple of 9013 and 9020 = 81297260
Step 1: Find the prime factorization of 9013
9013 = 9013
Step 2: Find the prime factorization of 9020
9020 = 2 x 2 x 5 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81297260 = 2 x 2 x 5 x 11 x 41 x 9013
Step 4: Therefore, the least common multiple of 9013 and 9020 is 81297260.