Least Common Multiple of 5610 and 5615
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5610 and 5615 the smallest integer that is 6300030 that is divisible by both numbers.
Least Common Multiple (LCM) of 5610 and 5615 is 6300030.
LCM(5610,5615) = 6300030
LCM of 5610 and 5615
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5610 and 5615 by Prime method
- Least Common Multiple of 5610 and 5615 with GCF Formula
LCM of 5610 and 5615 is 6300030
Least common multiple can be found by multiplying the highest exponent prime factors of 5610 and 5615. First we will calculate the prime factors of 5610 and 5615.
Prime Factorization of 5610
| 2 | 5610 |
| 3 | 2805 |
| 5 | 935 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 5610 are 2, 3, 5, 11,17. Prime factorization of 5610 in exponential form is:
5610 = 21×31×51×111×171
Prime Factorization of 5615
| 5 | 5615 |
| 1123 | 1123 |
| 1 |
Prime factors of 5615 are 5,1123. Prime factorization of 5615 in exponential form is:
5615 = 51×11231
Now multiplying the highest exponent prime factors to calculate the LCM of 5610 and 5615.
LCM(5610,5615) = 21×31×51×111×171×11231
LCM(5610,5615) = 6300030
Factors of 5610
List of positive integer factors of 5610 that divides 5610 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
Factors of 5615
List of positive integer factors of 5615 that divides 5615 without a remainder.
1, 5, 1123, 5615
Least Common Multiple of 5610 and 5615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5610 and 5615, than apply into the LCM equation.
GCF(5610,5615) = 5
LCM(5610,5615) = ( 5610 × 5615) / 5
LCM(5610,5615) = 31500150 / 5
LCM(5610,5615) = 6300030
Properties of LCM 5610 and 5615
(i) The LCM of 5615 and 5610 is associative
LCM of 5610 and 5615 = LCM of 5615 and 5610
Related Least Common Multiples of 5610
Related Least Common Multiples of 5615
Frequently Asked Questions on LCM of 5610 and 5615
1. What is the LCM of 5610 and 5615?
Answer: LCM of 5610 and 5615 is 6300030.
2. What are the Factors of 5610?
Answer: Factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610. There are 32 integers that are factors of 5610. The greatest factor of 5610 is 5610.
3. What are the Factors of 5615?
Answer: Factors of 5615 are 1, 5, 1123, 5615. There are 4 integers that are factors of 5615. The greatest factor of 5615 is 5615.
4. How to Find the LCM of 5610 and 5615?
Answer:
Least Common Multiple of 5610 and 5615 = 6300030
Step 1: Find the prime factorization of 5610
5610 = 2 x 3 x 5 x 11 x 17
Step 2: Find the prime factorization of 5615
5615 = 5 x 1123
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6300030 = 2 x 3 x 5 x 11 x 17 x 1123
Step 4: Therefore, the least common multiple of 5610 and 5615 is 6300030.