Least Common Multiple of 8509 and 8514
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8509 and 8514 the smallest integer that is 72445626 that is divisible by both numbers.
Least Common Multiple (LCM) of 8509 and 8514 is 72445626.
LCM(8509,8514) = 72445626
LCM of 8509 and 8514
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8509 and 8514 by Prime method
- Least Common Multiple of 8509 and 8514 with GCF Formula
LCM of 8509 and 8514 is 72445626
Least common multiple can be found by multiplying the highest exponent prime factors of 8509 and 8514. First we will calculate the prime factors of 8509 and 8514.
Prime Factorization of 8509
| 67 | 8509 |
| 127 | 127 |
| 1 |
Prime factors of 8509 are 67,127. Prime factorization of 8509 in exponential form is:
8509 = 671×1271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8509 and 8514.
LCM(8509,8514) = 21×32×111×431×671×1271
LCM(8509,8514) = 72445626
Factors of 8509
List of positive integer factors of 8509 that divides 8509 without a remainder.
1, 67, 127, 8509
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
Least Common Multiple of 8509 and 8514 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8509 and 8514, than apply into the LCM equation.
GCF(8509,8514) = 1
LCM(8509,8514) = ( 8509 × 8514) / 1
LCM(8509,8514) = 72445626 / 1
LCM(8509,8514) = 72445626
Properties of LCM 8509 and 8514
(i) The LCM of 8514 and 8509 is associative
LCM of 8509 and 8514 = LCM of 8514 and 8509
Related Least Common Multiples of 8509
Related Least Common Multiples of 8514
Frequently Asked Questions on LCM of 8509 and 8514
1. What is the LCM of 8509 and 8514?
Answer: LCM of 8509 and 8514 is 72445626.
2. What are the Factors of 8509?
Answer: Factors of 8509 are 1, 67, 127, 8509. There are 4 integers that are factors of 8509. The greatest factor of 8509 is 8509.
3. 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.
4. How to Find the LCM of 8509 and 8514?
Answer:
Least Common Multiple of 8509 and 8514 = 72445626
Step 1: Find the prime factorization of 8509
8509 = 67 x 127
Step 2: Find the prime factorization of 8514
8514 = 2 x 3 x 3 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72445626 = 2 x 3 x 3 x 11 x 43 x 67 x 127
Step 4: Therefore, the least common multiple of 8509 and 8514 is 72445626.