Least Common Multiple of 8614 and 8621
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8614 and 8621 the smallest integer that is 74261294 that is divisible by both numbers.
Least Common Multiple (LCM) of 8614 and 8621 is 74261294.
LCM(8614,8621) = 74261294
LCM of 8614 and 8621
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8614 and 8621 by Prime method
- Least Common Multiple of 8614 and 8621 with GCF Formula
LCM of 8614 and 8621 is 74261294
Least common multiple can be found by multiplying the highest exponent prime factors of 8614 and 8621. First we will calculate the prime factors of 8614 and 8621.
Prime Factorization of 8614
| 2 | 8614 |
| 59 | 4307 |
| 73 | 73 |
| 1 |
Prime factors of 8614 are 2, 59,73. Prime factorization of 8614 in exponential form is:
8614 = 21×591×731
Prime Factorization of 8621
| 37 | 8621 |
| 233 | 233 |
| 1 |
Prime factors of 8621 are 37,233. Prime factorization of 8621 in exponential form is:
8621 = 371×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 8614 and 8621.
LCM(8614,8621) = 21×371×591×731×2331
LCM(8614,8621) = 74261294
Factors of 8614
List of positive integer factors of 8614 that divides 8614 without a remainder.
1, 2, 59, 73, 118, 146, 4307, 8614
Factors of 8621
List of positive integer factors of 8621 that divides 8621 without a remainder.
1, 37, 233, 8621
Least Common Multiple of 8614 and 8621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8614 and 8621, than apply into the LCM equation.
GCF(8614,8621) = 1
LCM(8614,8621) = ( 8614 × 8621) / 1
LCM(8614,8621) = 74261294 / 1
LCM(8614,8621) = 74261294
Properties of LCM 8614 and 8621
(i) The LCM of 8621 and 8614 is associative
LCM of 8614 and 8621 = LCM of 8621 and 8614
Related Least Common Multiples of 8614
Related Least Common Multiples of 8621
Frequently Asked Questions on LCM of 8614 and 8621
1. What is the LCM of 8614 and 8621?
Answer: LCM of 8614 and 8621 is 74261294.
2. What are the Factors of 8614?
Answer: Factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614. There are 8 integers that are factors of 8614. The greatest factor of 8614 is 8614.
3. What are the Factors of 8621?
Answer: Factors of 8621 are 1, 37, 233, 8621. There are 4 integers that are factors of 8621. The greatest factor of 8621 is 8621.
4. How to Find the LCM of 8614 and 8621?
Answer:
Least Common Multiple of 8614 and 8621 = 74261294
Step 1: Find the prime factorization of 8614
8614 = 2 x 59 x 73
Step 2: Find the prime factorization of 8621
8621 = 37 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74261294 = 2 x 37 x 59 x 73 x 233
Step 4: Therefore, the least common multiple of 8614 and 8621 is 74261294.