Least Common Multiple of 4700 and 4707
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4700 and 4707 the smallest integer that is 22122900 that is divisible by both numbers.
Least Common Multiple (LCM) of 4700 and 4707 is 22122900.
LCM(4700,4707) = 22122900
LCM of 4700 and 4707
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4700 and 4707 by Prime method
- Least Common Multiple of 4700 and 4707 with GCF Formula
LCM of 4700 and 4707 is 22122900
Least common multiple can be found by multiplying the highest exponent prime factors of 4700 and 4707. First we will calculate the prime factors of 4700 and 4707.
Prime Factorization of 4700
| 2 | 4700 |
| 2 | 2350 |
| 5 | 1175 |
| 5 | 235 |
| 47 | 47 |
| 1 |
Prime factors of 4700 are 2, 5,47. Prime factorization of 4700 in exponential form is:
4700 = 22×52×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4700 and 4707.
LCM(4700,4707) = 22×32×52×471×5231
LCM(4700,4707) = 22122900
Factors of 4700
List of positive integer factors of 4700 that divides 4700 without a remainder.
1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700
Factors of 4707
List of positive integer factors of 4707 that divides 4707 without a remainder.
1, 3, 9, 523, 1569, 4707
Least Common Multiple of 4700 and 4707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4700 and 4707, than apply into the LCM equation.
GCF(4700,4707) = 1
LCM(4700,4707) = ( 4700 × 4707) / 1
LCM(4700,4707) = 22122900 / 1
LCM(4700,4707) = 22122900
Properties of LCM 4700 and 4707
(i) The LCM of 4707 and 4700 is associative
LCM of 4700 and 4707 = LCM of 4707 and 4700
Related Least Common Multiples of 4700
Related Least Common Multiples of 4707
Frequently Asked Questions on LCM of 4700 and 4707
1. What is the LCM of 4700 and 4707?
Answer: LCM of 4700 and 4707 is 22122900.
2. What are the Factors of 4700?
Answer: Factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700. There are 18 integers that are factors of 4700. The greatest factor of 4700 is 4700.
3. 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.
4. How to Find the LCM of 4700 and 4707?
Answer:
Least Common Multiple of 4700 and 4707 = 22122900
Step 1: Find the prime factorization of 4700
4700 = 2 x 2 x 5 x 5 x 47
Step 2: Find the prime factorization of 4707
4707 = 3 x 3 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22122900 = 2 x 2 x 3 x 3 x 5 x 5 x 47 x 523
Step 4: Therefore, the least common multiple of 4700 and 4707 is 22122900.