Least Common Multiple of 4707 and 4710
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 4710 the smallest integer that is 7389990 that is divisible by both numbers.
Least Common Multiple (LCM) of 4707 and 4710 is 7389990.
LCM(4707,4710) = 7389990
LCM of 4707 and 4710
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4707 and 4710 by Prime method
- Least Common Multiple of 4707 and 4710 with GCF Formula
LCM of 4707 and 4710 is 7389990
Least common multiple can be found by multiplying the highest exponent prime factors of 4707 and 4710. First we will calculate the prime factors of 4707 and 4710.
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 4710
| 2 | 4710 |
| 3 | 2355 |
| 5 | 785 |
| 157 | 157 |
| 1 |
Prime factors of 4710 are 2, 3, 5,157. Prime factorization of 4710 in exponential form is:
4710 = 21×31×51×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 4707 and 4710.
LCM(4707,4710) = 21×32×51×1571×5231
LCM(4707,4710) = 7389990
Factors of 4707
List of positive integer factors of 4707 that divides 4707 without a remainder.
1, 3, 9, 523, 1569, 4707
Factors of 4710
List of positive integer factors of 4710 that divides 4710 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
Least Common Multiple of 4707 and 4710 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 4710, than apply into the LCM equation.
GCF(4707,4710) = 3
LCM(4707,4710) = ( 4707 × 4710) / 3
LCM(4707,4710) = 22169970 / 3
LCM(4707,4710) = 7389990
Properties of LCM 4707 and 4710
(i) The LCM of 4710 and 4707 is associative
LCM of 4707 and 4710 = LCM of 4710 and 4707
Related Least Common Multiples of 4707
Related Least Common Multiples of 4710
Frequently Asked Questions on LCM of 4707 and 4710
1. What is the LCM of 4707 and 4710?
Answer: LCM of 4707 and 4710 is 7389990.
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 4710?
Answer: Factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710. There are 16 integers that are factors of 4710. The greatest factor of 4710 is 4710.
4. How to Find the LCM of 4707 and 4710?
Answer:
Least Common Multiple of 4707 and 4710 = 7389990
Step 1: Find the prime factorization of 4707
4707 = 3 x 3 x 523
Step 2: Find the prime factorization of 4710
4710 = 2 x 3 x 5 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7389990 = 2 x 3 x 3 x 5 x 157 x 523
Step 4: Therefore, the least common multiple of 4707 and 4710 is 7389990.
