Least Common Multiple of 6549 and 6553
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6549 and 6553 the smallest integer that is 42915597 that is divisible by both numbers.
Least Common Multiple (LCM) of 6549 and 6553 is 42915597.
LCM(6549,6553) = 42915597
LCM of 6549 and 6553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6549 and 6553 by Prime method
- Least Common Multiple of 6549 and 6553 with GCF Formula
LCM of 6549 and 6553 is 42915597
Least common multiple can be found by multiplying the highest exponent prime factors of 6549 and 6553. First we will calculate the prime factors of 6549 and 6553.
Prime Factorization of 6549
| 3 | 6549 |
| 37 | 2183 |
| 59 | 59 |
| 1 |
Prime factors of 6549 are 3, 37,59. Prime factorization of 6549 in exponential form is:
6549 = 31×371×591
Prime Factorization of 6553
| 6553 | 6553 |
| 1 |
Prime factors of 6553 are 6553. Prime factorization of 6553 in exponential form is:
6553 = 65531
Now multiplying the highest exponent prime factors to calculate the LCM of 6549 and 6553.
LCM(6549,6553) = 31×371×591×65531
LCM(6549,6553) = 42915597
Factors of 6549
List of positive integer factors of 6549 that divides 6549 without a remainder.
1, 3, 37, 59, 111, 177, 2183, 6549
Factors of 6553
List of positive integer factors of 6553 that divides 6553 without a remainder.
1, 6553
Least Common Multiple of 6549 and 6553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6549 and 6553, than apply into the LCM equation.
GCF(6549,6553) = 1
LCM(6549,6553) = ( 6549 × 6553) / 1
LCM(6549,6553) = 42915597 / 1
LCM(6549,6553) = 42915597
Properties of LCM 6549 and 6553
(i) The LCM of 6553 and 6549 is associative
LCM of 6549 and 6553 = LCM of 6553 and 6549
Related Least Common Multiples of 6549
Related Least Common Multiples of 6553
Frequently Asked Questions on LCM of 6549 and 6553
1. What is the LCM of 6549 and 6553?
Answer: LCM of 6549 and 6553 is 42915597.
2. What are the Factors of 6549?
Answer: Factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549. There are 8 integers that are factors of 6549. The greatest factor of 6549 is 6549.
3. What are the Factors of 6553?
Answer: Factors of 6553 are 1, 6553. There are 2 integers that are factors of 6553. The greatest factor of 6553 is 6553.
4. How to Find the LCM of 6549 and 6553?
Answer:
Least Common Multiple of 6549 and 6553 = 42915597
Step 1: Find the prime factorization of 6549
6549 = 3 x 37 x 59
Step 2: Find the prime factorization of 6553
6553 = 6553
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42915597 = 3 x 37 x 59 x 6553
Step 4: Therefore, the least common multiple of 6549 and 6553 is 42915597.