Least Common Multiple of 8514 and 8519
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8514 and 8519 the smallest integer that is 72530766 that is divisible by both numbers.
Least Common Multiple (LCM) of 8514 and 8519 is 72530766.
LCM(8514,8519) = 72530766
LCM of 8514 and 8519
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8514 and 8519 by Prime method
- Least Common Multiple of 8514 and 8519 with GCF Formula
LCM of 8514 and 8519 is 72530766
Least common multiple can be found by multiplying the highest exponent prime factors of 8514 and 8519. First we will calculate the prime factors of 8514 and 8519.
Prime Factorization of 8514
| 2 | 8514 |
| 3 | 4257 |
| 3 | 1419 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 8514 are 2, 3, 11,43. Prime factorization of 8514 in exponential form is:
8514 = 21×32×111×431
Prime Factorization of 8519
| 7 | 8519 |
| 1217 | 1217 |
| 1 |
Prime factors of 8519 are 7,1217. Prime factorization of 8519 in exponential form is:
8519 = 71×12171
Now multiplying the highest exponent prime factors to calculate the LCM of 8514 and 8519.
LCM(8514,8519) = 21×32×71×111×431×12171
LCM(8514,8519) = 72530766
Factors of 8514
List of positive integer factors of 8514 that divides 8514 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
Factors of 8519
List of positive integer factors of 8519 that divides 8519 without a remainder.
1, 7, 1217, 8519
Least Common Multiple of 8514 and 8519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8514 and 8519, than apply into the LCM equation.
GCF(8514,8519) = 1
LCM(8514,8519) = ( 8514 × 8519) / 1
LCM(8514,8519) = 72530766 / 1
LCM(8514,8519) = 72530766
Properties of LCM 8514 and 8519
(i) The LCM of 8519 and 8514 is associative
LCM of 8514 and 8519 = LCM of 8519 and 8514
Related Least Common Multiples of 8514
Related Least Common Multiples of 8519
Frequently Asked Questions on LCM of 8514 and 8519
1. What is the LCM of 8514 and 8519?
Answer: LCM of 8514 and 8519 is 72530766.
2. What are the Factors of 8514?
Answer: Factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514. There are 24 integers that are factors of 8514. The greatest factor of 8514 is 8514.
3. What are the Factors of 8519?
Answer: Factors of 8519 are 1, 7, 1217, 8519. There are 4 integers that are factors of 8519. The greatest factor of 8519 is 8519.
4. How to Find the LCM of 8514 and 8519?
Answer:
Least Common Multiple of 8514 and 8519 = 72530766
Step 1: Find the prime factorization of 8514
8514 = 2 x 3 x 3 x 11 x 43
Step 2: Find the prime factorization of 8519
8519 = 7 x 1217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72530766 = 2 x 3 x 3 x 7 x 11 x 43 x 1217
Step 4: Therefore, the least common multiple of 8514 and 8519 is 72530766.