Least Common Multiple of 3610 and 3615
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3610 and 3615 the smallest integer that is 2610030 that is divisible by both numbers.
Least Common Multiple (LCM) of 3610 and 3615 is 2610030.
LCM(3610,3615) = 2610030
LCM of 3610 and 3615
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3610 and 3615 by Prime method
- Least Common Multiple of 3610 and 3615 with GCF Formula
LCM of 3610 and 3615 is 2610030
Least common multiple can be found by multiplying the highest exponent prime factors of 3610 and 3615. First we will calculate the prime factors of 3610 and 3615.
Prime Factorization of 3610
| 2 | 3610 |
| 5 | 1805 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 3610 are 2, 5,19. Prime factorization of 3610 in exponential form is:
3610 = 21×51×192
Prime Factorization of 3615
| 3 | 3615 |
| 5 | 1205 |
| 241 | 241 |
| 1 |
Prime factors of 3615 are 3, 5,241. Prime factorization of 3615 in exponential form is:
3615 = 31×51×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 3610 and 3615.
LCM(3610,3615) = 21×31×51×192×2411
LCM(3610,3615) = 2610030
Factors of 3610
List of positive integer factors of 3610 that divides 3610 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610
Factors of 3615
List of positive integer factors of 3615 that divides 3615 without a remainder.
1, 3, 5, 15, 241, 723, 1205, 3615
Least Common Multiple of 3610 and 3615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3610 and 3615, than apply into the LCM equation.
GCF(3610,3615) = 5
LCM(3610,3615) = ( 3610 × 3615) / 5
LCM(3610,3615) = 13050150 / 5
LCM(3610,3615) = 2610030
Properties of LCM 3610 and 3615
(i) The LCM of 3615 and 3610 is associative
LCM of 3610 and 3615 = LCM of 3615 and 3610
Related Least Common Multiples of 3610
Related Least Common Multiples of 3615
Frequently Asked Questions on LCM of 3610 and 3615
1. What is the LCM of 3610 and 3615?
Answer: LCM of 3610 and 3615 is 2610030.
2. What are the Factors of 3610?
Answer: Factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610. There are 12 integers that are factors of 3610. The greatest factor of 3610 is 3610.
3. What are the Factors of 3615?
Answer: Factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615. There are 8 integers that are factors of 3615. The greatest factor of 3615 is 3615.
4. How to Find the LCM of 3610 and 3615?
Answer:
Least Common Multiple of 3610 and 3615 = 2610030
Step 1: Find the prime factorization of 3610
3610 = 2 x 5 x 19 x 19
Step 2: Find the prime factorization of 3615
3615 = 3 x 5 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2610030 = 2 x 3 x 5 x 19 x 19 x 241
Step 4: Therefore, the least common multiple of 3610 and 3615 is 2610030.
