Least Common Multiple of 8487 and 8494
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8487 and 8494 the smallest integer that is 72088578 that is divisible by both numbers.
Least Common Multiple (LCM) of 8487 and 8494 is 72088578.
LCM(8487,8494) = 72088578
LCM of 8487 and 8494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8487 and 8494 by Prime method
- Least Common Multiple of 8487 and 8494 with GCF Formula
LCM of 8487 and 8494 is 72088578
Least common multiple can be found by multiplying the highest exponent prime factors of 8487 and 8494. First we will calculate the prime factors of 8487 and 8494.
Prime Factorization of 8487
| 3 | 8487 |
| 3 | 2829 |
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 8487 are 3, 23,41. Prime factorization of 8487 in exponential form is:
8487 = 32×231×411
Prime Factorization of 8494
| 2 | 8494 |
| 31 | 4247 |
| 137 | 137 |
| 1 |
Prime factors of 8494 are 2, 31,137. Prime factorization of 8494 in exponential form is:
8494 = 21×311×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 8487 and 8494.
LCM(8487,8494) = 21×32×231×311×411×1371
LCM(8487,8494) = 72088578
Factors of 8487
List of positive integer factors of 8487 that divides 8487 without a remainder.
1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487
Factors of 8494
List of positive integer factors of 8494 that divides 8494 without a remainder.
1, 2, 31, 62, 137, 274, 4247, 8494
Least Common Multiple of 8487 and 8494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8487 and 8494, than apply into the LCM equation.
GCF(8487,8494) = 1
LCM(8487,8494) = ( 8487 × 8494) / 1
LCM(8487,8494) = 72088578 / 1
LCM(8487,8494) = 72088578
Properties of LCM 8487 and 8494
(i) The LCM of 8494 and 8487 is associative
LCM of 8487 and 8494 = LCM of 8494 and 8487
Related Least Common Multiples of 8487
Related Least Common Multiples of 8494
Frequently Asked Questions on LCM of 8487 and 8494
1. What is the LCM of 8487 and 8494?
Answer: LCM of 8487 and 8494 is 72088578.
2. What are the Factors of 8487?
Answer: Factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487. There are 12 integers that are factors of 8487. The greatest factor of 8487 is 8487.
3. What are the Factors of 8494?
Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.
4. How to Find the LCM of 8487 and 8494?
Answer:
Least Common Multiple of 8487 and 8494 = 72088578
Step 1: Find the prime factorization of 8487
8487 = 3 x 3 x 23 x 41
Step 2: Find the prime factorization of 8494
8494 = 2 x 31 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72088578 = 2 x 3 x 3 x 23 x 31 x 41 x 137
Step 4: Therefore, the least common multiple of 8487 and 8494 is 72088578.