Least Common Multiple of 8619 and 8627
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8619 and 8627 the smallest integer that is 74356113 that is divisible by both numbers.
Least Common Multiple (LCM) of 8619 and 8627 is 74356113.
LCM(8619,8627) = 74356113
LCM of 8619 and 8627
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8619 and 8627 by Prime method
- Least Common Multiple of 8619 and 8627 with GCF Formula
LCM of 8619 and 8627 is 74356113
Least common multiple can be found by multiplying the highest exponent prime factors of 8619 and 8627. First we will calculate the prime factors of 8619 and 8627.
Prime Factorization of 8619
| 3 | 8619 |
| 13 | 2873 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 8619 are 3, 13,17. Prime factorization of 8619 in exponential form is:
8619 = 31×132×171
Prime Factorization of 8627
| 8627 | 8627 |
| 1 |
Prime factors of 8627 are 8627. Prime factorization of 8627 in exponential form is:
8627 = 86271
Now multiplying the highest exponent prime factors to calculate the LCM of 8619 and 8627.
LCM(8619,8627) = 31×132×171×86271
LCM(8619,8627) = 74356113
Factors of 8619
List of positive integer factors of 8619 that divides 8619 without a remainder.
1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619
Factors of 8627
List of positive integer factors of 8627 that divides 8627 without a remainder.
1, 8627
Least Common Multiple of 8619 and 8627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8619 and 8627, than apply into the LCM equation.
GCF(8619,8627) = 1
LCM(8619,8627) = ( 8619 × 8627) / 1
LCM(8619,8627) = 74356113 / 1
LCM(8619,8627) = 74356113
Properties of LCM 8619 and 8627
(i) The LCM of 8627 and 8619 is associative
LCM of 8619 and 8627 = LCM of 8627 and 8619
Related Least Common Multiples of 8619
Related Least Common Multiples of 8627
Frequently Asked Questions on LCM of 8619 and 8627
1. What is the LCM of 8619 and 8627?
Answer: LCM of 8619 and 8627 is 74356113.
2. What are the Factors of 8619?
Answer: Factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619. There are 12 integers that are factors of 8619. The greatest factor of 8619 is 8619.
3. What are the Factors of 8627?
Answer: Factors of 8627 are 1, 8627. There are 2 integers that are factors of 8627. The greatest factor of 8627 is 8627.
4. How to Find the LCM of 8619 and 8627?
Answer:
Least Common Multiple of 8619 and 8627 = 74356113
Step 1: Find the prime factorization of 8619
8619 = 3 x 13 x 13 x 17
Step 2: Find the prime factorization of 8627
8627 = 8627
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74356113 = 3 x 13 x 13 x 17 x 8627
Step 4: Therefore, the least common multiple of 8619 and 8627 is 74356113.