Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8714 and 8718 the smallest integer that is 37984326 that is divisible by both numbers.
Least Common Multiple (LCM) of 8714 and 8718 is 37984326.
LCM(8714,8718) = 37984326
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8714 and 8718. First we will calculate the prime factors of 8714 and 8718.
Prime Factorization of 8714
2 | 8714 |
4357 | 4357 |
1 |
Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:
8714 = 21×43571
Prime Factorization of 8718
2 | 8718 |
3 | 4359 |
1453 | 1453 |
1 |
Prime factors of 8718 are 2, 3,1453. Prime factorization of 8718 in exponential form is:
8718 = 21×31×14531
Now multiplying the highest exponent prime factors to calculate the LCM of 8714 and 8718.
LCM(8714,8718) = 21×31×14531×43571
LCM(8714,8718) = 37984326
Factors of 8714
List of positive integer factors of 8714 that divides 8714 without a remainder.
1, 2, 4357, 8714
Factors of 8718
List of positive integer factors of 8718 that divides 8718 without a remainder.
1, 2, 3, 6, 1453, 2906, 4359, 8718
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8714 and 8718, than apply into the LCM equation.
GCF(8714,8718) = 2
LCM(8714,8718) = ( 8714 × 8718) / 2
LCM(8714,8718) = 75968652 / 2
LCM(8714,8718) = 37984326
(i) The LCM of 8718 and 8714 is associative
LCM of 8714 and 8718 = LCM of 8718 and 8714
1. What is the LCM of 8714 and 8718?
Answer: LCM of 8714 and 8718 is 37984326.
2. What are the Factors of 8714?
Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.
3. What are the Factors of 8718?
Answer: Factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718. There are 8 integers that are factors of 8718. The greatest factor of 8718 is 8718.
4. How to Find the LCM of 8714 and 8718?
Answer:
Least Common Multiple of 8714 and 8718 = 37984326
Step 1: Find the prime factorization of 8714
8714 = 2 x 4357
Step 2: Find the prime factorization of 8718
8718 = 2 x 3 x 1453
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37984326 = 2 x 3 x 1453 x 4357
Step 4: Therefore, the least common multiple of 8714 and 8718 is 37984326.