Least Common Multiple of 8610 and 8617
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8610 and 8617 the smallest integer that is 10598910 that is divisible by both numbers.
Least Common Multiple (LCM) of 8610 and 8617 is 10598910.
LCM(8610,8617) = 10598910
LCM of 8610 and 8617
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8610 and 8617 by Prime method
- Least Common Multiple of 8610 and 8617 with GCF Formula
LCM of 8610 and 8617 is 10598910
Least common multiple can be found by multiplying the highest exponent prime factors of 8610 and 8617. First we will calculate the prime factors of 8610 and 8617.
Prime Factorization of 8610
| 2 | 8610 |
| 3 | 4305 |
| 5 | 1435 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 8610 are 2, 3, 5, 7,41. Prime factorization of 8610 in exponential form is:
8610 = 21×31×51×71×411
Prime Factorization of 8617
| 7 | 8617 |
| 1231 | 1231 |
| 1 |
Prime factors of 8617 are 7,1231. Prime factorization of 8617 in exponential form is:
8617 = 71×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 8610 and 8617.
LCM(8610,8617) = 21×31×51×71×411×12311
LCM(8610,8617) = 10598910
Factors of 8610
List of positive integer factors of 8610 that divides 8610 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
Factors of 8617
List of positive integer factors of 8617 that divides 8617 without a remainder.
1, 7, 1231, 8617
Least Common Multiple of 8610 and 8617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8610 and 8617, than apply into the LCM equation.
GCF(8610,8617) = 7
LCM(8610,8617) = ( 8610 × 8617) / 7
LCM(8610,8617) = 74192370 / 7
LCM(8610,8617) = 10598910
Properties of LCM 8610 and 8617
(i) The LCM of 8617 and 8610 is associative
LCM of 8610 and 8617 = LCM of 8617 and 8610
Related Least Common Multiples of 8610
Related Least Common Multiples of 8617
Frequently Asked Questions on LCM of 8610 and 8617
1. What is the LCM of 8610 and 8617?
Answer: LCM of 8610 and 8617 is 10598910.
2. What are the Factors of 8610?
Answer: Factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610. There are 32 integers that are factors of 8610. The greatest factor of 8610 is 8610.
3. What are the Factors of 8617?
Answer: Factors of 8617 are 1, 7, 1231, 8617. There are 4 integers that are factors of 8617. The greatest factor of 8617 is 8617.
4. How to Find the LCM of 8610 and 8617?
Answer:
Least Common Multiple of 8610 and 8617 = 10598910
Step 1: Find the prime factorization of 8610
8610 = 2 x 3 x 5 x 7 x 41
Step 2: Find the prime factorization of 8617
8617 = 7 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10598910 = 2 x 3 x 5 x 7 x 41 x 1231
Step 4: Therefore, the least common multiple of 8610 and 8617 is 10598910.