Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5531 and 5537 the smallest integer that is 30625147 that is divisible by both numbers.
Least Common Multiple (LCM) of 5531 and 5537 is 30625147.
LCM(5531,5537) = 30625147
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 5531 and 5537. First we will calculate the prime factors of 5531 and 5537.
Prime Factorization of 5531
5531 | 5531 |
1 |
Prime factors of 5531 are 5531. Prime factorization of 5531 in exponential form is:
5531 = 55311
Prime Factorization of 5537
7 | 5537 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 5537 are 7,113. Prime factorization of 5537 in exponential form is:
5537 = 72×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 5531 and 5537.
LCM(5531,5537) = 72×1131×55311
LCM(5531,5537) = 30625147
Factors of 5531
List of positive integer factors of 5531 that divides 5531 without a remainder.
1, 5531
Factors of 5537
List of positive integer factors of 5537 that divides 5537 without a remainder.
1, 7, 49, 113, 791, 5537
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5531 and 5537, than apply into the LCM equation.
GCF(5531,5537) = 1
LCM(5531,5537) = ( 5531 × 5537) / 1
LCM(5531,5537) = 30625147 / 1
LCM(5531,5537) = 30625147
(i) The LCM of 5537 and 5531 is associative
LCM of 5531 and 5537 = LCM of 5537 and 5531
1. What is the LCM of 5531 and 5537?
Answer: LCM of 5531 and 5537 is 30625147.
2. What are the Factors of 5531?
Answer: Factors of 5531 are 1, 5531. There are 2 integers that are factors of 5531. The greatest factor of 5531 is 5531.
3. What are the Factors of 5537?
Answer: Factors of 5537 are 1, 7, 49, 113, 791, 5537. There are 6 integers that are factors of 5537. The greatest factor of 5537 is 5537.
4. How to Find the LCM of 5531 and 5537?
Answer:
Least Common Multiple of 5531 and 5537 = 30625147
Step 1: Find the prime factorization of 5531
5531 = 5531
Step 2: Find the prime factorization of 5537
5537 = 7 x 7 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30625147 = 7 x 7 x 113 x 5531
Step 4: Therefore, the least common multiple of 5531 and 5537 is 30625147.