Least Common Multiple of 8549 and 8551
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 8551 the smallest integer that is 73102499 that is divisible by both numbers.
Least Common Multiple (LCM) of 8549 and 8551 is 73102499.
LCM(8549,8551) = 73102499
LCM of 8549 and 8551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8549 and 8551 by Prime method
- Least Common Multiple of 8549 and 8551 with GCF Formula
LCM of 8549 and 8551 is 73102499
Least common multiple can be found by multiplying the highest exponent prime factors of 8549 and 8551. First we will calculate the prime factors of 8549 and 8551.
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 8551
| 17 | 8551 |
| 503 | 503 |
| 1 |
Prime factors of 8551 are 17,503. Prime factorization of 8551 in exponential form is:
8551 = 171×5031
Now multiplying the highest exponent prime factors to calculate the LCM of 8549 and 8551.
LCM(8549,8551) = 171×831×1031×5031
LCM(8549,8551) = 73102499
Factors of 8549
List of positive integer factors of 8549 that divides 8549 without a remainder.
1, 83, 103, 8549
Factors of 8551
List of positive integer factors of 8551 that divides 8551 without a remainder.
1, 17, 503, 8551
Least Common Multiple of 8549 and 8551 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 8551, than apply into the LCM equation.
GCF(8549,8551) = 1
LCM(8549,8551) = ( 8549 × 8551) / 1
LCM(8549,8551) = 73102499 / 1
LCM(8549,8551) = 73102499
Properties of LCM 8549 and 8551
(i) The LCM of 8551 and 8549 is associative
LCM of 8549 and 8551 = LCM of 8551 and 8549
Related Least Common Multiples of 8549
Related Least Common Multiples of 8551
Frequently Asked Questions on LCM of 8549 and 8551
1. What is the LCM of 8549 and 8551?
Answer: LCM of 8549 and 8551 is 73102499.
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 8551?
Answer: Factors of 8551 are 1, 17, 503, 8551. There are 4 integers that are factors of 8551. The greatest factor of 8551 is 8551.
4. How to Find the LCM of 8549 and 8551?
Answer:
Least Common Multiple of 8549 and 8551 = 73102499
Step 1: Find the prime factorization of 8549
8549 = 83 x 103
Step 2: Find the prime factorization of 8551
8551 = 17 x 503
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73102499 = 17 x 83 x 103 x 503
Step 4: Therefore, the least common multiple of 8549 and 8551 is 73102499.
