Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4709 and 4711 the smallest integer that is 22184099 that is divisible by both numbers.
Least Common Multiple (LCM) of 4709 and 4711 is 22184099.
LCM(4709,4711) = 22184099
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 4709 and 4711. First we will calculate the prime factors of 4709 and 4711.
Prime Factorization of 4709
17 | 4709 |
277 | 277 |
1 |
Prime factors of 4709 are 17,277. Prime factorization of 4709 in exponential form is:
4709 = 171×2771
Prime Factorization of 4711
7 | 4711 |
673 | 673 |
1 |
Prime factors of 4711 are 7,673. Prime factorization of 4711 in exponential form is:
4711 = 71×6731
Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4711.
LCM(4709,4711) = 71×171×2771×6731
LCM(4709,4711) = 22184099
Factors of 4709
List of positive integer factors of 4709 that divides 4709 without a remainder.
1, 17, 277, 4709
Factors of 4711
List of positive integer factors of 4711 that divides 4711 without a remainder.
1, 7, 673, 4711
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4709 and 4711, than apply into the LCM equation.
GCF(4709,4711) = 1
LCM(4709,4711) = ( 4709 × 4711) / 1
LCM(4709,4711) = 22184099 / 1
LCM(4709,4711) = 22184099
(i) The LCM of 4711 and 4709 is associative
LCM of 4709 and 4711 = LCM of 4711 and 4709
1. What is the LCM of 4709 and 4711?
Answer: LCM of 4709 and 4711 is 22184099.
2. What are the Factors of 4709?
Answer: Factors of 4709 are 1, 17, 277, 4709. There are 4 integers that are factors of 4709. The greatest factor of 4709 is 4709.
3. What are the Factors of 4711?
Answer: Factors of 4711 are 1, 7, 673, 4711. There are 4 integers that are factors of 4711. The greatest factor of 4711 is 4711.
4. How to Find the LCM of 4709 and 4711?
Answer:
Least Common Multiple of 4709 and 4711 = 22184099
Step 1: Find the prime factorization of 4709
4709 = 17 x 277
Step 2: Find the prime factorization of 4711
4711 = 7 x 673
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22184099 = 7 x 17 x 277 x 673
Step 4: Therefore, the least common multiple of 4709 and 4711 is 22184099.