Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5175 and 5181 the smallest integer that is 8937225 that is divisible by both numbers.
Least Common Multiple (LCM) of 5175 and 5181 is 8937225.
LCM(5175,5181) = 8937225
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 5175 and 5181. First we will calculate the prime factors of 5175 and 5181.
Prime Factorization of 5175
3 | 5175 |
3 | 1725 |
5 | 575 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 5175 are 3, 5,23. Prime factorization of 5175 in exponential form is:
5175 = 32×52×231
Prime Factorization of 5181
3 | 5181 |
11 | 1727 |
157 | 157 |
1 |
Prime factors of 5181 are 3, 11,157. Prime factorization of 5181 in exponential form is:
5181 = 31×111×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 5175 and 5181.
LCM(5175,5181) = 32×52×111×231×1571
LCM(5175,5181) = 8937225
Factors of 5175
List of positive integer factors of 5175 that divides 5175 without a remainder.
1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
Factors of 5181
List of positive integer factors of 5181 that divides 5181 without a remainder.
1, 3, 11, 33, 157, 471, 1727, 5181
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5175 and 5181, than apply into the LCM equation.
GCF(5175,5181) = 3
LCM(5175,5181) = ( 5175 × 5181) / 3
LCM(5175,5181) = 26811675 / 3
LCM(5175,5181) = 8937225
(i) The LCM of 5181 and 5175 is associative
LCM of 5175 and 5181 = LCM of 5181 and 5175
1. What is the LCM of 5175 and 5181?
Answer: LCM of 5175 and 5181 is 8937225.
2. What are the Factors of 5175?
Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.
3. What are the Factors of 5181?
Answer: Factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181. There are 8 integers that are factors of 5181. The greatest factor of 5181 is 5181.
4. How to Find the LCM of 5175 and 5181?
Answer:
Least Common Multiple of 5175 and 5181 = 8937225
Step 1: Find the prime factorization of 5175
5175 = 3 x 3 x 5 x 5 x 23
Step 2: Find the prime factorization of 5181
5181 = 3 x 11 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8937225 = 3 x 3 x 5 x 5 x 11 x 23 x 157
Step 4: Therefore, the least common multiple of 5175 and 5181 is 8937225.