Least Common Multiple of 8615 and 8619
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8615 and 8619 the smallest integer that is 74252685 that is divisible by both numbers.
Least Common Multiple (LCM) of 8615 and 8619 is 74252685.
LCM(8615,8619) = 74252685
LCM of 8615 and 8619
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8615 and 8619 by Prime method
- Least Common Multiple of 8615 and 8619 with GCF Formula
LCM of 8615 and 8619 is 74252685
Least common multiple can be found by multiplying the highest exponent prime factors of 8615 and 8619. First we will calculate the prime factors of 8615 and 8619.
Prime Factorization of 8615
| 5 | 8615 |
| 1723 | 1723 |
| 1 |
Prime factors of 8615 are 5,1723. Prime factorization of 8615 in exponential form is:
8615 = 51×17231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8615 and 8619.
LCM(8615,8619) = 31×51×132×171×17231
LCM(8615,8619) = 74252685
Factors of 8615
List of positive integer factors of 8615 that divides 8615 without a remainder.
1, 5, 1723, 8615
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
Least Common Multiple of 8615 and 8619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8615 and 8619, than apply into the LCM equation.
GCF(8615,8619) = 1
LCM(8615,8619) = ( 8615 × 8619) / 1
LCM(8615,8619) = 74252685 / 1
LCM(8615,8619) = 74252685
Properties of LCM 8615 and 8619
(i) The LCM of 8619 and 8615 is associative
LCM of 8615 and 8619 = LCM of 8619 and 8615
Related Least Common Multiples of 8615
Related Least Common Multiples of 8619
Frequently Asked Questions on LCM of 8615 and 8619
1. What is the LCM of 8615 and 8619?
Answer: LCM of 8615 and 8619 is 74252685.
2. What are the Factors of 8615?
Answer: Factors of 8615 are 1, 5, 1723, 8615. There are 4 integers that are factors of 8615. The greatest factor of 8615 is 8615.
3. 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.
4. How to Find the LCM of 8615 and 8619?
Answer:
Least Common Multiple of 8615 and 8619 = 74252685
Step 1: Find the prime factorization of 8615
8615 = 5 x 1723
Step 2: Find the prime factorization of 8619
8619 = 3 x 13 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74252685 = 3 x 5 x 13 x 13 x 17 x 1723
Step 4: Therefore, the least common multiple of 8615 and 8619 is 74252685.