Least Common Multiple of 8613 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 8613 and 8617 the smallest integer that is 74218221 that is divisible by both numbers.
Least Common Multiple (LCM) of 8613 and 8617 is 74218221.
LCM(8613,8617) = 74218221
LCM of 8613 and 8617
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8613 and 8617 by Prime method
- Least Common Multiple of 8613 and 8617 with GCF Formula
LCM of 8613 and 8617 is 74218221
Least common multiple can be found by multiplying the highest exponent prime factors of 8613 and 8617. First we will calculate the prime factors of 8613 and 8617.
Prime Factorization of 8613
| 3 | 8613 |
| 3 | 2871 |
| 3 | 957 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 8613 are 3, 11,29. Prime factorization of 8613 in exponential form is:
8613 = 33×111×291
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 8613 and 8617.
LCM(8613,8617) = 33×71×111×291×12311
LCM(8613,8617) = 74218221
Factors of 8613
List of positive integer factors of 8613 that divides 8613 without a remainder.
1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613
Factors of 8617
List of positive integer factors of 8617 that divides 8617 without a remainder.
1, 7, 1231, 8617
Least Common Multiple of 8613 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 8613 and 8617, than apply into the LCM equation.
GCF(8613,8617) = 1
LCM(8613,8617) = ( 8613 × 8617) / 1
LCM(8613,8617) = 74218221 / 1
LCM(8613,8617) = 74218221
Properties of LCM 8613 and 8617
(i) The LCM of 8617 and 8613 is associative
LCM of 8613 and 8617 = LCM of 8617 and 8613
Related Least Common Multiples of 8613
Related Least Common Multiples of 8617
Frequently Asked Questions on LCM of 8613 and 8617
1. What is the LCM of 8613 and 8617?
Answer: LCM of 8613 and 8617 is 74218221.
2. What are the Factors of 8613?
Answer: Factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613. There are 16 integers that are factors of 8613. The greatest factor of 8613 is 8613.
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 8613 and 8617?
Answer:
Least Common Multiple of 8613 and 8617 = 74218221
Step 1: Find the prime factorization of 8613
8613 = 3 x 3 x 3 x 11 x 29
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 = 74218221 = 3 x 3 x 3 x 7 x 11 x 29 x 1231
Step 4: Therefore, the least common multiple of 8613 and 8617 is 74218221.