Least Common Multiple of 9045 and 9046
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 9046 the smallest integer that is 81821070 that is divisible by both numbers.
Least Common Multiple (LCM) of 9045 and 9046 is 81821070.
LCM(9045,9046) = 81821070
LCM of 9045 and 9046
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9045 and 9046 by Prime method
- Least Common Multiple of 9045 and 9046 with GCF Formula
LCM of 9045 and 9046 is 81821070
Least common multiple can be found by multiplying the highest exponent prime factors of 9045 and 9046. First we will calculate the prime factors of 9045 and 9046.
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 9046
| 2 | 9046 |
| 4523 | 4523 |
| 1 |
Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:
9046 = 21×45231
Now multiplying the highest exponent prime factors to calculate the LCM of 9045 and 9046.
LCM(9045,9046) = 21×33×51×671×45231
LCM(9045,9046) = 81821070
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 9046
List of positive integer factors of 9046 that divides 9046 without a remainder.
1, 2, 4523, 9046
Least Common Multiple of 9045 and 9046 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 9046, than apply into the LCM equation.
GCF(9045,9046) = 1
LCM(9045,9046) = ( 9045 × 9046) / 1
LCM(9045,9046) = 81821070 / 1
LCM(9045,9046) = 81821070
Properties of LCM 9045 and 9046
(i) The LCM of 9046 and 9045 is associative
LCM of 9045 and 9046 = LCM of 9046 and 9045
Related Least Common Multiples of 9045
Related Least Common Multiples of 9046
Frequently Asked Questions on LCM of 9045 and 9046
1. What is the LCM of 9045 and 9046?
Answer: LCM of 9045 and 9046 is 81821070.
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 9046?
Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.
4. How to Find the LCM of 9045 and 9046?
Answer:
Least Common Multiple of 9045 and 9046 = 81821070
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 9046
9046 = 2 x 4523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81821070 = 2 x 3 x 3 x 3 x 5 x 67 x 4523
Step 4: Therefore, the least common multiple of 9045 and 9046 is 81821070.