Least Common Multiple of 4707 and 4708
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 4708 the smallest integer that is 22160556 that is divisible by both numbers.
Least Common Multiple (LCM) of 4707 and 4708 is 22160556.
LCM(4707,4708) = 22160556
LCM of 4707 and 4708
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4707 and 4708 by Prime method
- Least Common Multiple of 4707 and 4708 with GCF Formula
LCM of 4707 and 4708 is 22160556
Least common multiple can be found by multiplying the highest exponent prime factors of 4707 and 4708. First we will calculate the prime factors of 4707 and 4708.
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 4708
| 2 | 4708 |
| 2 | 2354 |
| 11 | 1177 |
| 107 | 107 |
| 1 |
Prime factors of 4708 are 2, 11,107. Prime factorization of 4708 in exponential form is:
4708 = 22×111×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 4707 and 4708.
LCM(4707,4708) = 22×32×111×1071×5231
LCM(4707,4708) = 22160556
Factors of 4707
List of positive integer factors of 4707 that divides 4707 without a remainder.
1, 3, 9, 523, 1569, 4707
Factors of 4708
List of positive integer factors of 4708 that divides 4708 without a remainder.
1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708
Least Common Multiple of 4707 and 4708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4707 and 4708, than apply into the LCM equation.
GCF(4707,4708) = 1
LCM(4707,4708) = ( 4707 × 4708) / 1
LCM(4707,4708) = 22160556 / 1
LCM(4707,4708) = 22160556
Properties of LCM 4707 and 4708
(i) The LCM of 4708 and 4707 is associative
LCM of 4707 and 4708 = LCM of 4708 and 4707
Related Least Common Multiples of 4707
Related Least Common Multiples of 4708
Frequently Asked Questions on LCM of 4707 and 4708
1. What is the LCM of 4707 and 4708?
Answer: LCM of 4707 and 4708 is 22160556.
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 4708?
Answer: Factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. There are 12 integers that are factors of 4708. The greatest factor of 4708 is 4708.
4. How to Find the LCM of 4707 and 4708?
Answer:
Least Common Multiple of 4707 and 4708 = 22160556
Step 1: Find the prime factorization of 4707
4707 = 3 x 3 x 523
Step 2: Find the prime factorization of 4708
4708 = 2 x 2 x 11 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22160556 = 2 x 2 x 3 x 3 x 11 x 107 x 523
Step 4: Therefore, the least common multiple of 4707 and 4708 is 22160556.