Least Common Multiple of 9711 and 9718
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9711 and 9718 the smallest integer that is 94371498 that is divisible by both numbers.
Least Common Multiple (LCM) of 9711 and 9718 is 94371498.
LCM(9711,9718) = 94371498
LCM of 9711 and 9718
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9711 and 9718 by Prime method
- Least Common Multiple of 9711 and 9718 with GCF Formula
LCM of 9711 and 9718 is 94371498
Least common multiple can be found by multiplying the highest exponent prime factors of 9711 and 9718. First we will calculate the prime factors of 9711 and 9718.
Prime Factorization of 9711
| 3 | 9711 |
| 3 | 3237 |
| 13 | 1079 |
| 83 | 83 |
| 1 |
Prime factors of 9711 are 3, 13,83. Prime factorization of 9711 in exponential form is:
9711 = 32×131×831
Prime Factorization of 9718
| 2 | 9718 |
| 43 | 4859 |
| 113 | 113 |
| 1 |
Prime factors of 9718 are 2, 43,113. Prime factorization of 9718 in exponential form is:
9718 = 21×431×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 9711 and 9718.
LCM(9711,9718) = 21×32×131×431×831×1131
LCM(9711,9718) = 94371498
Factors of 9711
List of positive integer factors of 9711 that divides 9711 without a remainder.
1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
Factors of 9718
List of positive integer factors of 9718 that divides 9718 without a remainder.
1, 2, 43, 86, 113, 226, 4859, 9718
Least Common Multiple of 9711 and 9718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9711 and 9718, than apply into the LCM equation.
GCF(9711,9718) = 1
LCM(9711,9718) = ( 9711 × 9718) / 1
LCM(9711,9718) = 94371498 / 1
LCM(9711,9718) = 94371498
Properties of LCM 9711 and 9718
(i) The LCM of 9718 and 9711 is associative
LCM of 9711 and 9718 = LCM of 9718 and 9711
Related Least Common Multiples of 9711
Related Least Common Multiples of 9718
Frequently Asked Questions on LCM of 9711 and 9718
1. What is the LCM of 9711 and 9718?
Answer: LCM of 9711 and 9718 is 94371498.
2. What are the Factors of 9711?
Answer: Factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711. There are 12 integers that are factors of 9711. The greatest factor of 9711 is 9711.
3. What are the Factors of 9718?
Answer: Factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718. There are 8 integers that are factors of 9718. The greatest factor of 9718 is 9718.
4. How to Find the LCM of 9711 and 9718?
Answer:
Least Common Multiple of 9711 and 9718 = 94371498
Step 1: Find the prime factorization of 9711
9711 = 3 x 3 x 13 x 83
Step 2: Find the prime factorization of 9718
9718 = 2 x 43 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94371498 = 2 x 3 x 3 x 13 x 43 x 83 x 113
Step 4: Therefore, the least common multiple of 9711 and 9718 is 94371498.