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 6554 the smallest integer that is 42922146 that is divisible by both numbers.
Least Common Multiple (LCM) of 6549 and 6554 is 42922146.
LCM(6549,6554) = 42922146
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6549 and 6554. First we will calculate the prime factors of 6549 and 6554.
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 6554
2 | 6554 |
29 | 3277 |
113 | 113 |
1 |
Prime factors of 6554 are 2, 29,113. Prime factorization of 6554 in exponential form is:
6554 = 21×291×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 6549 and 6554.
LCM(6549,6554) = 21×31×291×371×591×1131
LCM(6549,6554) = 42922146
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 6554
List of positive integer factors of 6554 that divides 6554 without a remainder.
1, 2, 29, 58, 113, 226, 3277, 6554
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6549 and 6554, than apply into the LCM equation.
GCF(6549,6554) = 1
LCM(6549,6554) = ( 6549 × 6554) / 1
LCM(6549,6554) = 42922146 / 1
LCM(6549,6554) = 42922146
(i) The LCM of 6554 and 6549 is associative
LCM of 6549 and 6554 = LCM of 6554 and 6549
1. What is the LCM of 6549 and 6554?
Answer: LCM of 6549 and 6554 is 42922146.
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 6554?
Answer: Factors of 6554 are 1, 2, 29, 58, 113, 226, 3277, 6554. There are 8 integers that are factors of 6554. The greatest factor of 6554 is 6554.
4. How to Find the LCM of 6549 and 6554?
Answer:
Least Common Multiple of 6549 and 6554 = 42922146
Step 1: Find the prime factorization of 6549
6549 = 3 x 37 x 59
Step 2: Find the prime factorization of 6554
6554 = 2 x 29 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42922146 = 2 x 3 x 29 x 37 x 59 x 113
Step 4: Therefore, the least common multiple of 6549 and 6554 is 42922146.