Least Common Multiple of 9045 and 9053
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9045 and 9053 the smallest integer that is 81884385 that is divisible by both numbers.
Least Common Multiple (LCM) of 9045 and 9053 is 81884385.
LCM(9045,9053) = 81884385
LCM of 9045 and 9053
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9045 and 9053 by Prime method
- Least Common Multiple of 9045 and 9053 with GCF Formula
LCM of 9045 and 9053 is 81884385
Least common multiple can be found by multiplying the highest exponent prime factors of 9045 and 9053. First we will calculate the prime factors of 9045 and 9053.
Prime Factorization of 9045
| 3 | 9045 |
| 3 | 3015 |
| 3 | 1005 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 9045 are 3, 5,67. Prime factorization of 9045 in exponential form is:
9045 = 33×51×671
Prime Factorization of 9053
| 11 | 9053 |
| 823 | 823 |
| 1 |
Prime factors of 9053 are 11,823. Prime factorization of 9053 in exponential form is:
9053 = 111×8231
Now multiplying the highest exponent prime factors to calculate the LCM of 9045 and 9053.
LCM(9045,9053) = 33×51×111×671×8231
LCM(9045,9053) = 81884385
Factors of 9045
List of positive integer factors of 9045 that divides 9045 without a remainder.
1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045
Factors of 9053
List of positive integer factors of 9053 that divides 9053 without a remainder.
1, 11, 823, 9053
Least Common Multiple of 9045 and 9053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9045 and 9053, than apply into the LCM equation.
GCF(9045,9053) = 1
LCM(9045,9053) = ( 9045 × 9053) / 1
LCM(9045,9053) = 81884385 / 1
LCM(9045,9053) = 81884385
Properties of LCM 9045 and 9053
(i) The LCM of 9053 and 9045 is associative
LCM of 9045 and 9053 = LCM of 9053 and 9045
Related Least Common Multiples of 9045
Related Least Common Multiples of 9053
Frequently Asked Questions on LCM of 9045 and 9053
1. What is the LCM of 9045 and 9053?
Answer: LCM of 9045 and 9053 is 81884385.
2. What are the Factors of 9045?
Answer: Factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045. There are 16 integers that are factors of 9045. The greatest factor of 9045 is 9045.
3. What are the Factors of 9053?
Answer: Factors of 9053 are 1, 11, 823, 9053. There are 4 integers that are factors of 9053. The greatest factor of 9053 is 9053.
4. How to Find the LCM of 9045 and 9053?
Answer:
Least Common Multiple of 9045 and 9053 = 81884385
Step 1: Find the prime factorization of 9045
9045 = 3 x 3 x 3 x 5 x 67
Step 2: Find the prime factorization of 9053
9053 = 11 x 823
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81884385 = 3 x 3 x 3 x 5 x 11 x 67 x 823
Step 4: Therefore, the least common multiple of 9045 and 9053 is 81884385.