Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5545 and 5549 the smallest integer that is 30769205 that is divisible by both numbers.
Least Common Multiple (LCM) of 5545 and 5549 is 30769205.
LCM(5545,5549) = 30769205
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 5545 and 5549. First we will calculate the prime factors of 5545 and 5549.
Prime Factorization of 5545
5 | 5545 |
1109 | 1109 |
1 |
Prime factors of 5545 are 5,1109. Prime factorization of 5545 in exponential form is:
5545 = 51×11091
Prime Factorization of 5549
31 | 5549 |
179 | 179 |
1 |
Prime factors of 5549 are 31,179. Prime factorization of 5549 in exponential form is:
5549 = 311×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 5545 and 5549.
LCM(5545,5549) = 51×311×1791×11091
LCM(5545,5549) = 30769205
Factors of 5545
List of positive integer factors of 5545 that divides 5545 without a remainder.
1, 5, 1109, 5545
Factors of 5549
List of positive integer factors of 5549 that divides 5549 without a remainder.
1, 31, 179, 5549
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5545 and 5549, than apply into the LCM equation.
GCF(5545,5549) = 1
LCM(5545,5549) = ( 5545 × 5549) / 1
LCM(5545,5549) = 30769205 / 1
LCM(5545,5549) = 30769205
(i) The LCM of 5549 and 5545 is associative
LCM of 5545 and 5549 = LCM of 5549 and 5545
1. What is the LCM of 5545 and 5549?
Answer: LCM of 5545 and 5549 is 30769205.
2. What are the Factors of 5545?
Answer: Factors of 5545 are 1, 5, 1109, 5545. There are 4 integers that are factors of 5545. The greatest factor of 5545 is 5545.
3. What are the Factors of 5549?
Answer: Factors of 5549 are 1, 31, 179, 5549. There are 4 integers that are factors of 5549. The greatest factor of 5549 is 5549.
4. How to Find the LCM of 5545 and 5549?
Answer:
Least Common Multiple of 5545 and 5549 = 30769205
Step 1: Find the prime factorization of 5545
5545 = 5 x 1109
Step 2: Find the prime factorization of 5549
5549 = 31 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30769205 = 5 x 31 x 179 x 1109
Step 4: Therefore, the least common multiple of 5545 and 5549 is 30769205.