Least Common Multiple of 8541 and 8545
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8541 and 8545 the smallest integer that is 72982845 that is divisible by both numbers.
Least Common Multiple (LCM) of 8541 and 8545 is 72982845.
LCM(8541,8545) = 72982845
LCM of 8541 and 8545
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8541 and 8545 by Prime method
- Least Common Multiple of 8541 and 8545 with GCF Formula
LCM of 8541 and 8545 is 72982845
Least common multiple can be found by multiplying the highest exponent prime factors of 8541 and 8545. First we will calculate the prime factors of 8541 and 8545.
Prime Factorization of 8541
| 3 | 8541 |
| 3 | 2847 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 8541 are 3, 13,73. Prime factorization of 8541 in exponential form is:
8541 = 32×131×731
Prime Factorization of 8545
| 5 | 8545 |
| 1709 | 1709 |
| 1 |
Prime factors of 8545 are 5,1709. Prime factorization of 8545 in exponential form is:
8545 = 51×17091
Now multiplying the highest exponent prime factors to calculate the LCM of 8541 and 8545.
LCM(8541,8545) = 32×51×131×731×17091
LCM(8541,8545) = 72982845
Factors of 8541
List of positive integer factors of 8541 that divides 8541 without a remainder.
1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541
Factors of 8545
List of positive integer factors of 8545 that divides 8545 without a remainder.
1, 5, 1709, 8545
Least Common Multiple of 8541 and 8545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8541 and 8545, than apply into the LCM equation.
GCF(8541,8545) = 1
LCM(8541,8545) = ( 8541 × 8545) / 1
LCM(8541,8545) = 72982845 / 1
LCM(8541,8545) = 72982845
Properties of LCM 8541 and 8545
(i) The LCM of 8545 and 8541 is associative
LCM of 8541 and 8545 = LCM of 8545 and 8541
Related Least Common Multiples of 8541
Related Least Common Multiples of 8545
Frequently Asked Questions on LCM of 8541 and 8545
1. What is the LCM of 8541 and 8545?
Answer: LCM of 8541 and 8545 is 72982845.
2. What are the Factors of 8541?
Answer: Factors of 8541 are 1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541. There are 12 integers that are factors of 8541. The greatest factor of 8541 is 8541.
3. What are the Factors of 8545?
Answer: Factors of 8545 are 1, 5, 1709, 8545. There are 4 integers that are factors of 8545. The greatest factor of 8545 is 8545.
4. How to Find the LCM of 8541 and 8545?
Answer:
Least Common Multiple of 8541 and 8545 = 72982845
Step 1: Find the prime factorization of 8541
8541 = 3 x 3 x 13 x 73
Step 2: Find the prime factorization of 8545
8545 = 5 x 1709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72982845 = 3 x 3 x 5 x 13 x 73 x 1709
Step 4: Therefore, the least common multiple of 8541 and 8545 is 72982845.