Least Common Multiple of 8611 and 8613
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8611 and 8613 the smallest integer that is 74166543 that is divisible by both numbers.
Least Common Multiple (LCM) of 8611 and 8613 is 74166543.
LCM(8611,8613) = 74166543
LCM of 8611 and 8613
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8611 and 8613 by Prime method
- Least Common Multiple of 8611 and 8613 with GCF Formula
LCM of 8611 and 8613 is 74166543
Least common multiple can be found by multiplying the highest exponent prime factors of 8611 and 8613. First we will calculate the prime factors of 8611 and 8613.
Prime Factorization of 8611
| 79 | 8611 |
| 109 | 109 |
| 1 |
Prime factors of 8611 are 79,109. Prime factorization of 8611 in exponential form is:
8611 = 791×1091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8611 and 8613.
LCM(8611,8613) = 33×111×291×791×1091
LCM(8611,8613) = 74166543
Factors of 8611
List of positive integer factors of 8611 that divides 8611 without a remainder.
1, 79, 109, 8611
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
Least Common Multiple of 8611 and 8613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8611 and 8613, than apply into the LCM equation.
GCF(8611,8613) = 1
LCM(8611,8613) = ( 8611 × 8613) / 1
LCM(8611,8613) = 74166543 / 1
LCM(8611,8613) = 74166543
Properties of LCM 8611 and 8613
(i) The LCM of 8613 and 8611 is associative
LCM of 8611 and 8613 = LCM of 8613 and 8611
Related Least Common Multiples of 8611
Related Least Common Multiples of 8613
Frequently Asked Questions on LCM of 8611 and 8613
1. What is the LCM of 8611 and 8613?
Answer: LCM of 8611 and 8613 is 74166543.
2. What are the Factors of 8611?
Answer: Factors of 8611 are 1, 79, 109, 8611. There are 4 integers that are factors of 8611. The greatest factor of 8611 is 8611.
3. 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.
4. How to Find the LCM of 8611 and 8613?
Answer:
Least Common Multiple of 8611 and 8613 = 74166543
Step 1: Find the prime factorization of 8611
8611 = 79 x 109
Step 2: Find the prime factorization of 8613
8613 = 3 x 3 x 3 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74166543 = 3 x 3 x 3 x 11 x 29 x 79 x 109
Step 4: Therefore, the least common multiple of 8611 and 8613 is 74166543.