Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5534 and 5535 the smallest integer that is 30630690 that is divisible by both numbers.
Least Common Multiple (LCM) of 5534 and 5535 is 30630690.
LCM(5534,5535) = 30630690
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 5534 and 5535. First we will calculate the prime factors of 5534 and 5535.
Prime Factorization of 5534
2 | 5534 |
2767 | 2767 |
1 |
Prime factors of 5534 are 2,2767. Prime factorization of 5534 in exponential form is:
5534 = 21×27671
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 5534 and 5535.
LCM(5534,5535) = 21×33×51×411×27671
LCM(5534,5535) = 30630690
Factors of 5534
List of positive integer factors of 5534 that divides 5534 without a remainder.
1, 2, 2767, 5534
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 5534 and 5535, than apply into the LCM equation.
GCF(5534,5535) = 1
LCM(5534,5535) = ( 5534 × 5535) / 1
LCM(5534,5535) = 30630690 / 1
LCM(5534,5535) = 30630690
(i) The LCM of 5535 and 5534 is associative
LCM of 5534 and 5535 = LCM of 5535 and 5534
1. What is the LCM of 5534 and 5535?
Answer: LCM of 5534 and 5535 is 30630690.
2. What are the Factors of 5534?
Answer: Factors of 5534 are 1, 2, 2767, 5534. There are 4 integers that are factors of 5534. The greatest factor of 5534 is 5534.
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 5534 and 5535?
Answer:
Least Common Multiple of 5534 and 5535 = 30630690
Step 1: Find the prime factorization of 5534
5534 = 2 x 2767
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 = 30630690 = 2 x 3 x 3 x 3 x 5 x 41 x 2767
Step 4: Therefore, the least common multiple of 5534 and 5535 is 30630690.