Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5507 and 5511 the smallest integer that is 30349077 that is divisible by both numbers.
Least Common Multiple (LCM) of 5507 and 5511 is 30349077.
LCM(5507,5511) = 30349077
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 5507 and 5511. First we will calculate the prime factors of 5507 and 5511.
Prime Factorization of 5507
5507 | 5507 |
1 |
Prime factors of 5507 are 5507. Prime factorization of 5507 in exponential form is:
5507 = 55071
Prime Factorization of 5511
3 | 5511 |
11 | 1837 |
167 | 167 |
1 |
Prime factors of 5511 are 3, 11,167. Prime factorization of 5511 in exponential form is:
5511 = 31×111×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 5507 and 5511.
LCM(5507,5511) = 31×111×1671×55071
LCM(5507,5511) = 30349077
Factors of 5507
List of positive integer factors of 5507 that divides 5507 without a remainder.
1, 5507
Factors of 5511
List of positive integer factors of 5511 that divides 5511 without a remainder.
1, 3, 11, 33, 167, 501, 1837, 5511
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5507 and 5511, than apply into the LCM equation.
GCF(5507,5511) = 1
LCM(5507,5511) = ( 5507 × 5511) / 1
LCM(5507,5511) = 30349077 / 1
LCM(5507,5511) = 30349077
(i) The LCM of 5511 and 5507 is associative
LCM of 5507 and 5511 = LCM of 5511 and 5507
1. What is the LCM of 5507 and 5511?
Answer: LCM of 5507 and 5511 is 30349077.
2. What are the Factors of 5507?
Answer: Factors of 5507 are 1, 5507. There are 2 integers that are factors of 5507. The greatest factor of 5507 is 5507.
3. What are the Factors of 5511?
Answer: Factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511. There are 8 integers that are factors of 5511. The greatest factor of 5511 is 5511.
4. How to Find the LCM of 5507 and 5511?
Answer:
Least Common Multiple of 5507 and 5511 = 30349077
Step 1: Find the prime factorization of 5507
5507 = 5507
Step 2: Find the prime factorization of 5511
5511 = 3 x 11 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30349077 = 3 x 11 x 167 x 5507
Step 4: Therefore, the least common multiple of 5507 and 5511 is 30349077.