Least Common Multiple of 9049 and 9057
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9049 and 9057 the smallest integer that is 81956793 that is divisible by both numbers.
Least Common Multiple (LCM) of 9049 and 9057 is 81956793.
LCM(9049,9057) = 81956793
LCM of 9049 and 9057
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9049 and 9057 by Prime method
- Least Common Multiple of 9049 and 9057 with GCF Formula
LCM of 9049 and 9057 is 81956793
Least common multiple can be found by multiplying the highest exponent prime factors of 9049 and 9057. First we will calculate the prime factors of 9049 and 9057.
Prime Factorization of 9049
| 9049 | 9049 |
| 1 |
Prime factors of 9049 are 9049. Prime factorization of 9049 in exponential form is:
9049 = 90491
Prime Factorization of 9057
| 3 | 9057 |
| 3019 | 3019 |
| 1 |
Prime factors of 9057 are 3,3019. Prime factorization of 9057 in exponential form is:
9057 = 31×30191
Now multiplying the highest exponent prime factors to calculate the LCM of 9049 and 9057.
LCM(9049,9057) = 31×30191×90491
LCM(9049,9057) = 81956793
Factors of 9049
List of positive integer factors of 9049 that divides 9049 without a remainder.
1, 9049
Factors of 9057
List of positive integer factors of 9057 that divides 9057 without a remainder.
1, 3, 3019, 9057
Least Common Multiple of 9049 and 9057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9049 and 9057, than apply into the LCM equation.
GCF(9049,9057) = 1
LCM(9049,9057) = ( 9049 × 9057) / 1
LCM(9049,9057) = 81956793 / 1
LCM(9049,9057) = 81956793
Properties of LCM 9049 and 9057
(i) The LCM of 9057 and 9049 is associative
LCM of 9049 and 9057 = LCM of 9057 and 9049
Related Least Common Multiples of 9049
Related Least Common Multiples of 9057
Frequently Asked Questions on LCM of 9049 and 9057
1. What is the LCM of 9049 and 9057?
Answer: LCM of 9049 and 9057 is 81956793.
2. What are the Factors of 9049?
Answer: Factors of 9049 are 1, 9049. There are 2 integers that are factors of 9049. The greatest factor of 9049 is 9049.
3. What are the Factors of 9057?
Answer: Factors of 9057 are 1, 3, 3019, 9057. There are 4 integers that are factors of 9057. The greatest factor of 9057 is 9057.
4. How to Find the LCM of 9049 and 9057?
Answer:
Least Common Multiple of 9049 and 9057 = 81956793
Step 1: Find the prime factorization of 9049
9049 = 9049
Step 2: Find the prime factorization of 9057
9057 = 3 x 3019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81956793 = 3 x 3019 x 9049
Step 4: Therefore, the least common multiple of 9049 and 9057 is 81956793.