Least Common Multiple of 8615 and 8622
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 8622 the smallest integer that is 74278530 that is divisible by both numbers.
Least Common Multiple (LCM) of 8615 and 8622 is 74278530.
LCM(8615,8622) = 74278530
LCM of 8615 and 8622
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8615 and 8622 by Prime method
- Least Common Multiple of 8615 and 8622 with GCF Formula
LCM of 8615 and 8622 is 74278530
Least common multiple can be found by multiplying the highest exponent prime factors of 8615 and 8622. First we will calculate the prime factors of 8615 and 8622.
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 8622
| 2 | 8622 |
| 3 | 4311 |
| 3 | 1437 |
| 479 | 479 |
| 1 |
Prime factors of 8622 are 2, 3,479. Prime factorization of 8622 in exponential form is:
8622 = 21×32×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 8615 and 8622.
LCM(8615,8622) = 21×32×51×4791×17231
LCM(8615,8622) = 74278530
Factors of 8615
List of positive integer factors of 8615 that divides 8615 without a remainder.
1, 5, 1723, 8615
Factors of 8622
List of positive integer factors of 8622 that divides 8622 without a remainder.
1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622
Least Common Multiple of 8615 and 8622 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 8622, than apply into the LCM equation.
GCF(8615,8622) = 1
LCM(8615,8622) = ( 8615 × 8622) / 1
LCM(8615,8622) = 74278530 / 1
LCM(8615,8622) = 74278530
Properties of LCM 8615 and 8622
(i) The LCM of 8622 and 8615 is associative
LCM of 8615 and 8622 = LCM of 8622 and 8615
Related Least Common Multiples of 8615
Related Least Common Multiples of 8622
Frequently Asked Questions on LCM of 8615 and 8622
1. What is the LCM of 8615 and 8622?
Answer: LCM of 8615 and 8622 is 74278530.
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 8622?
Answer: Factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622. There are 12 integers that are factors of 8622. The greatest factor of 8622 is 8622.
4. How to Find the LCM of 8615 and 8622?
Answer:
Least Common Multiple of 8615 and 8622 = 74278530
Step 1: Find the prime factorization of 8615
8615 = 5 x 1723
Step 2: Find the prime factorization of 8622
8622 = 2 x 3 x 3 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74278530 = 2 x 3 x 3 x 5 x 479 x 1723
Step 4: Therefore, the least common multiple of 8615 and 8622 is 74278530.