Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5527 and 5535 the smallest integer that is 30591945 that is divisible by both numbers.
Least Common Multiple (LCM) of 5527 and 5535 is 30591945.
LCM(5527,5535) = 30591945
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 5527 and 5535. First we will calculate the prime factors of 5527 and 5535.
Prime Factorization of 5527
5527 | 5527 |
1 |
Prime factors of 5527 are 5527. Prime factorization of 5527 in exponential form is:
5527 = 55271
Prime Factorization of 5535
3 | 5535 |
3 | 1845 |
3 | 615 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 5535 are 3, 5,41. Prime factorization of 5535 in exponential form is:
5535 = 33×51×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5527 and 5535.
LCM(5527,5535) = 33×51×411×55271
LCM(5527,5535) = 30591945
Factors of 5527
List of positive integer factors of 5527 that divides 5527 without a remainder.
1, 5527
Factors of 5535
List of positive integer factors of 5535 that divides 5535 without a remainder.
1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5527 and 5535, than apply into the LCM equation.
GCF(5527,5535) = 1
LCM(5527,5535) = ( 5527 × 5535) / 1
LCM(5527,5535) = 30591945 / 1
LCM(5527,5535) = 30591945
(i) The LCM of 5535 and 5527 is associative
LCM of 5527 and 5535 = LCM of 5535 and 5527
1. What is the LCM of 5527 and 5535?
Answer: LCM of 5527 and 5535 is 30591945.
2. What are the Factors of 5527?
Answer: Factors of 5527 are 1, 5527. There are 2 integers that are factors of 5527. The greatest factor of 5527 is 5527.
3. What are the Factors of 5535?
Answer: Factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535. There are 16 integers that are factors of 5535. The greatest factor of 5535 is 5535.
4. How to Find the LCM of 5527 and 5535?
Answer:
Least Common Multiple of 5527 and 5535 = 30591945
Step 1: Find the prime factorization of 5527
5527 = 5527
Step 2: Find the prime factorization of 5535
5535 = 3 x 3 x 3 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30591945 = 3 x 3 x 3 x 5 x 41 x 5527
Step 4: Therefore, the least common multiple of 5527 and 5535 is 30591945.