Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8718 and 8726 the smallest integer that is 38036634 that is divisible by both numbers.
Least Common Multiple (LCM) of 8718 and 8726 is 38036634.
LCM(8718,8726) = 38036634
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 8718 and 8726. First we will calculate the prime factors of 8718 and 8726.
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
Prime Factorization of 8726
2 | 8726 |
4363 | 4363 |
1 |
Prime factors of 8726 are 2,4363. Prime factorization of 8726 in exponential form is:
8726 = 21×43631
Now multiplying the highest exponent prime factors to calculate the LCM of 8718 and 8726.
LCM(8718,8726) = 21×31×14531×43631
LCM(8718,8726) = 38036634
Factors of 8718
List of positive integer factors of 8718 that divides 8718 without a remainder.
1, 2, 3, 6, 1453, 2906, 4359, 8718
Factors of 8726
List of positive integer factors of 8726 that divides 8726 without a remainder.
1, 2, 4363, 8726
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8718 and 8726, than apply into the LCM equation.
GCF(8718,8726) = 2
LCM(8718,8726) = ( 8718 × 8726) / 2
LCM(8718,8726) = 76073268 / 2
LCM(8718,8726) = 38036634
(i) The LCM of 8726 and 8718 is associative
LCM of 8718 and 8726 = LCM of 8726 and 8718
1. What is the LCM of 8718 and 8726?
Answer: LCM of 8718 and 8726 is 38036634.
2. 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.
3. What are the Factors of 8726?
Answer: Factors of 8726 are 1, 2, 4363, 8726. There are 4 integers that are factors of 8726. The greatest factor of 8726 is 8726.
4. How to Find the LCM of 8718 and 8726?
Answer:
Least Common Multiple of 8718 and 8726 = 38036634
Step 1: Find the prime factorization of 8718
8718 = 2 x 3 x 1453
Step 2: Find the prime factorization of 8726
8726 = 2 x 4363
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38036634 = 2 x 3 x 1453 x 4363
Step 4: Therefore, the least common multiple of 8718 and 8726 is 38036634.