Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4707 and 4711 the smallest integer that is 22174677 that is divisible by both numbers.
Least Common Multiple (LCM) of 4707 and 4711 is 22174677.
LCM(4707,4711) = 22174677
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 4707 and 4711. First we will calculate the prime factors of 4707 and 4711.
Prime Factorization of 4707
3 | 4707 |
3 | 1569 |
523 | 523 |
1 |
Prime factors of 4707 are 3,523. Prime factorization of 4707 in exponential form is:
4707 = 32×5231
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 4707 and 4711.
LCM(4707,4711) = 32×71×5231×6731
LCM(4707,4711) = 22174677
Factors of 4707
List of positive integer factors of 4707 that divides 4707 without a remainder.
1, 3, 9, 523, 1569, 4707
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 4707 and 4711, than apply into the LCM equation.
GCF(4707,4711) = 1
LCM(4707,4711) = ( 4707 × 4711) / 1
LCM(4707,4711) = 22174677 / 1
LCM(4707,4711) = 22174677
(i) The LCM of 4711 and 4707 is associative
LCM of 4707 and 4711 = LCM of 4711 and 4707
1. What is the LCM of 4707 and 4711?
Answer: LCM of 4707 and 4711 is 22174677.
2. What are the Factors of 4707?
Answer: Factors of 4707 are 1, 3, 9, 523, 1569, 4707. There are 6 integers that are factors of 4707. The greatest factor of 4707 is 4707.
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 4707 and 4711?
Answer:
Least Common Multiple of 4707 and 4711 = 22174677
Step 1: Find the prime factorization of 4707
4707 = 3 x 3 x 523
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 = 22174677 = 3 x 3 x 7 x 523 x 673
Step 4: Therefore, the least common multiple of 4707 and 4711 is 22174677.