Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5524 and 5529 the smallest integer that is 30542196 that is divisible by both numbers.
Least Common Multiple (LCM) of 5524 and 5529 is 30542196.
LCM(5524,5529) = 30542196
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 5524 and 5529. First we will calculate the prime factors of 5524 and 5529.
Prime Factorization of 5524
2 | 5524 |
2 | 2762 |
1381 | 1381 |
1 |
Prime factors of 5524 are 2,1381. Prime factorization of 5524 in exponential form is:
5524 = 22×13811
Prime Factorization of 5529
3 | 5529 |
19 | 1843 |
97 | 97 |
1 |
Prime factors of 5529 are 3, 19,97. Prime factorization of 5529 in exponential form is:
5529 = 31×191×971
Now multiplying the highest exponent prime factors to calculate the LCM of 5524 and 5529.
LCM(5524,5529) = 22×31×191×971×13811
LCM(5524,5529) = 30542196
Factors of 5524
List of positive integer factors of 5524 that divides 5524 without a remainder.
1, 2, 4, 1381, 2762, 5524
Factors of 5529
List of positive integer factors of 5529 that divides 5529 without a remainder.
1, 3, 19, 57, 97, 291, 1843, 5529
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5524 and 5529, than apply into the LCM equation.
GCF(5524,5529) = 1
LCM(5524,5529) = ( 5524 × 5529) / 1
LCM(5524,5529) = 30542196 / 1
LCM(5524,5529) = 30542196
(i) The LCM of 5529 and 5524 is associative
LCM of 5524 and 5529 = LCM of 5529 and 5524
1. What is the LCM of 5524 and 5529?
Answer: LCM of 5524 and 5529 is 30542196.
2. What are the Factors of 5524?
Answer: Factors of 5524 are 1, 2, 4, 1381, 2762, 5524. There are 6 integers that are factors of 5524. The greatest factor of 5524 is 5524.
3. What are the Factors of 5529?
Answer: Factors of 5529 are 1, 3, 19, 57, 97, 291, 1843, 5529. There are 8 integers that are factors of 5529. The greatest factor of 5529 is 5529.
4. How to Find the LCM of 5524 and 5529?
Answer:
Least Common Multiple of 5524 and 5529 = 30542196
Step 1: Find the prime factorization of 5524
5524 = 2 x 2 x 1381
Step 2: Find the prime factorization of 5529
5529 = 3 x 19 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30542196 = 2 x 2 x 3 x 19 x 97 x 1381
Step 4: Therefore, the least common multiple of 5524 and 5529 is 30542196.