Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5577 and 5584 the smallest integer that is 31141968 that is divisible by both numbers.
Least Common Multiple (LCM) of 5577 and 5584 is 31141968.
LCM(5577,5584) = 31141968
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 5577 and 5584. First we will calculate the prime factors of 5577 and 5584.
Prime Factorization of 5577
3 | 5577 |
11 | 1859 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 5577 are 3, 11,13. Prime factorization of 5577 in exponential form is:
5577 = 31×111×132
Prime Factorization of 5584
2 | 5584 |
2 | 2792 |
2 | 1396 |
2 | 698 |
349 | 349 |
1 |
Prime factors of 5584 are 2,349. Prime factorization of 5584 in exponential form is:
5584 = 24×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 5577 and 5584.
LCM(5577,5584) = 24×31×111×132×3491
LCM(5577,5584) = 31141968
Factors of 5577
List of positive integer factors of 5577 that divides 5577 without a remainder.
1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577
Factors of 5584
List of positive integer factors of 5584 that divides 5584 without a remainder.
1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5577 and 5584, than apply into the LCM equation.
GCF(5577,5584) = 1
LCM(5577,5584) = ( 5577 × 5584) / 1
LCM(5577,5584) = 31141968 / 1
LCM(5577,5584) = 31141968
(i) The LCM of 5584 and 5577 is associative
LCM of 5577 and 5584 = LCM of 5584 and 5577
1. What is the LCM of 5577 and 5584?
Answer: LCM of 5577 and 5584 is 31141968.
2. What are the Factors of 5577?
Answer: Factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577. There are 12 integers that are factors of 5577. The greatest factor of 5577 is 5577.
3. What are the Factors of 5584?
Answer: Factors of 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584. There are 10 integers that are factors of 5584. The greatest factor of 5584 is 5584.
4. How to Find the LCM of 5577 and 5584?
Answer:
Least Common Multiple of 5577 and 5584 = 31141968
Step 1: Find the prime factorization of 5577
5577 = 3 x 11 x 13 x 13
Step 2: Find the prime factorization of 5584
5584 = 2 x 2 x 2 x 2 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31141968 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 13 x 349
Step 4: Therefore, the least common multiple of 5577 and 5584 is 31141968.