Least Common Multiple of 8619 and 8623
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 8623 the smallest integer that is 74321637 that is divisible by both numbers.
Least Common Multiple (LCM) of 8619 and 8623 is 74321637.
LCM(8619,8623) = 74321637
LCM of 8619 and 8623
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8619 and 8623 by Prime method
- Least Common Multiple of 8619 and 8623 with GCF Formula
LCM of 8619 and 8623 is 74321637
Least common multiple can be found by multiplying the highest exponent prime factors of 8619 and 8623. First we will calculate the prime factors of 8619 and 8623.
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 8623
| 8623 | 8623 |
| 1 |
Prime factors of 8623 are 8623. Prime factorization of 8623 in exponential form is:
8623 = 86231
Now multiplying the highest exponent prime factors to calculate the LCM of 8619 and 8623.
LCM(8619,8623) = 31×132×171×86231
LCM(8619,8623) = 74321637
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 8623
List of positive integer factors of 8623 that divides 8623 without a remainder.
1, 8623
Least Common Multiple of 8619 and 8623 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 8623, than apply into the LCM equation.
GCF(8619,8623) = 1
LCM(8619,8623) = ( 8619 × 8623) / 1
LCM(8619,8623) = 74321637 / 1
LCM(8619,8623) = 74321637
Properties of LCM 8619 and 8623
(i) The LCM of 8623 and 8619 is associative
LCM of 8619 and 8623 = LCM of 8623 and 8619
Related Least Common Multiples of 8619
Related Least Common Multiples of 8623
Frequently Asked Questions on LCM of 8619 and 8623
1. What is the LCM of 8619 and 8623?
Answer: LCM of 8619 and 8623 is 74321637.
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 8623?
Answer: Factors of 8623 are 1, 8623. There are 2 integers that are factors of 8623. The greatest factor of 8623 is 8623.
4. How to Find the LCM of 8619 and 8623?
Answer:
Least Common Multiple of 8619 and 8623 = 74321637
Step 1: Find the prime factorization of 8619
8619 = 3 x 13 x 13 x 17
Step 2: Find the prime factorization of 8623
8623 = 8623
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74321637 = 3 x 13 x 13 x 17 x 8623
Step 4: Therefore, the least common multiple of 8619 and 8623 is 74321637.