Least Common Multiple of 9711 and 9719
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 9719 the smallest integer that is 94381209 that is divisible by both numbers.
Least Common Multiple (LCM) of 9711 and 9719 is 94381209.
LCM(9711,9719) = 94381209
LCM of 9711 and 9719
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9711 and 9719 by Prime method
- Least Common Multiple of 9711 and 9719 with GCF Formula
LCM of 9711 and 9719 is 94381209
Least common multiple can be found by multiplying the highest exponent prime factors of 9711 and 9719. First we will calculate the prime factors of 9711 and 9719.
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 9719
| 9719 | 9719 |
| 1 |
Prime factors of 9719 are 9719. Prime factorization of 9719 in exponential form is:
9719 = 97191
Now multiplying the highest exponent prime factors to calculate the LCM of 9711 and 9719.
LCM(9711,9719) = 32×131×831×97191
LCM(9711,9719) = 94381209
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 9719
List of positive integer factors of 9719 that divides 9719 without a remainder.
1, 9719
Least Common Multiple of 9711 and 9719 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 9719, than apply into the LCM equation.
GCF(9711,9719) = 1
LCM(9711,9719) = ( 9711 × 9719) / 1
LCM(9711,9719) = 94381209 / 1
LCM(9711,9719) = 94381209
Properties of LCM 9711 and 9719
(i) The LCM of 9719 and 9711 is associative
LCM of 9711 and 9719 = LCM of 9719 and 9711
Related Least Common Multiples of 9711
Related Least Common Multiples of 9719
Frequently Asked Questions on LCM of 9711 and 9719
1. What is the LCM of 9711 and 9719?
Answer: LCM of 9711 and 9719 is 94381209.
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 9719?
Answer: Factors of 9719 are 1, 9719. There are 2 integers that are factors of 9719. The greatest factor of 9719 is 9719.
4. How to Find the LCM of 9711 and 9719?
Answer:
Least Common Multiple of 9711 and 9719 = 94381209
Step 1: Find the prime factorization of 9711
9711 = 3 x 3 x 13 x 83
Step 2: Find the prime factorization of 9719
9719 = 9719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94381209 = 3 x 3 x 13 x 83 x 9719
Step 4: Therefore, the least common multiple of 9711 and 9719 is 94381209.