Least Common Multiple of 8549 and 8553
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8549 and 8553 the smallest integer that is 73119597 that is divisible by both numbers.
Least Common Multiple (LCM) of 8549 and 8553 is 73119597.
LCM(8549,8553) = 73119597
LCM of 8549 and 8553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8549 and 8553 by Prime method
- Least Common Multiple of 8549 and 8553 with GCF Formula
LCM of 8549 and 8553 is 73119597
Least common multiple can be found by multiplying the highest exponent prime factors of 8549 and 8553. First we will calculate the prime factors of 8549 and 8553.
Prime Factorization of 8549
| 83 | 8549 |
| 103 | 103 |
| 1 |
Prime factors of 8549 are 83,103. Prime factorization of 8549 in exponential form is:
8549 = 831×1031
Prime Factorization of 8553
| 3 | 8553 |
| 2851 | 2851 |
| 1 |
Prime factors of 8553 are 3,2851. Prime factorization of 8553 in exponential form is:
8553 = 31×28511
Now multiplying the highest exponent prime factors to calculate the LCM of 8549 and 8553.
LCM(8549,8553) = 31×831×1031×28511
LCM(8549,8553) = 73119597
Factors of 8549
List of positive integer factors of 8549 that divides 8549 without a remainder.
1, 83, 103, 8549
Factors of 8553
List of positive integer factors of 8553 that divides 8553 without a remainder.
1, 3, 2851, 8553
Least Common Multiple of 8549 and 8553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8549 and 8553, than apply into the LCM equation.
GCF(8549,8553) = 1
LCM(8549,8553) = ( 8549 × 8553) / 1
LCM(8549,8553) = 73119597 / 1
LCM(8549,8553) = 73119597
Properties of LCM 8549 and 8553
(i) The LCM of 8553 and 8549 is associative
LCM of 8549 and 8553 = LCM of 8553 and 8549
Related Least Common Multiples of 8549
Related Least Common Multiples of 8553
Frequently Asked Questions on LCM of 8549 and 8553
1. What is the LCM of 8549 and 8553?
Answer: LCM of 8549 and 8553 is 73119597.
2. What are the Factors of 8549?
Answer: Factors of 8549 are 1, 83, 103, 8549. There are 4 integers that are factors of 8549. The greatest factor of 8549 is 8549.
3. What are the Factors of 8553?
Answer: Factors of 8553 are 1, 3, 2851, 8553. There are 4 integers that are factors of 8553. The greatest factor of 8553 is 8553.
4. How to Find the LCM of 8549 and 8553?
Answer:
Least Common Multiple of 8549 and 8553 = 73119597
Step 1: Find the prime factorization of 8549
8549 = 83 x 103
Step 2: Find the prime factorization of 8553
8553 = 3 x 2851
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73119597 = 3 x 83 x 103 x 2851
Step 4: Therefore, the least common multiple of 8549 and 8553 is 73119597.