Least Common Multiple of 4847 and 4851
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4847 and 4851 the smallest integer that is 23512797 that is divisible by both numbers.
Least Common Multiple (LCM) of 4847 and 4851 is 23512797.
LCM(4847,4851) = 23512797
LCM of 4847 and 4851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4847 and 4851 by Prime method
- Least Common Multiple of 4847 and 4851 with GCF Formula
LCM of 4847 and 4851 is 23512797
Least common multiple can be found by multiplying the highest exponent prime factors of 4847 and 4851. First we will calculate the prime factors of 4847 and 4851.
Prime Factorization of 4847
| 37 | 4847 |
| 131 | 131 |
| 1 |
Prime factors of 4847 are 37,131. Prime factorization of 4847 in exponential form is:
4847 = 371×1311
Prime Factorization of 4851
| 3 | 4851 |
| 3 | 1617 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 4851 are 3, 7,11. Prime factorization of 4851 in exponential form is:
4851 = 32×72×111
Now multiplying the highest exponent prime factors to calculate the LCM of 4847 and 4851.
LCM(4847,4851) = 32×72×111×371×1311
LCM(4847,4851) = 23512797
Factors of 4847
List of positive integer factors of 4847 that divides 4847 without a remainder.
1, 37, 131, 4847
Factors of 4851
List of positive integer factors of 4851 that divides 4851 without a remainder.
1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851
Least Common Multiple of 4847 and 4851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4847 and 4851, than apply into the LCM equation.
GCF(4847,4851) = 1
LCM(4847,4851) = ( 4847 × 4851) / 1
LCM(4847,4851) = 23512797 / 1
LCM(4847,4851) = 23512797
Properties of LCM 4847 and 4851
(i) The LCM of 4851 and 4847 is associative
LCM of 4847 and 4851 = LCM of 4851 and 4847
Related Least Common Multiples of 4847
Related Least Common Multiples of 4851
Frequently Asked Questions on LCM of 4847 and 4851
1. What is the LCM of 4847 and 4851?
Answer: LCM of 4847 and 4851 is 23512797.
2. What are the Factors of 4847?
Answer: Factors of 4847 are 1, 37, 131, 4847. There are 4 integers that are factors of 4847. The greatest factor of 4847 is 4847.
3. What are the Factors of 4851?
Answer: Factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851. There are 18 integers that are factors of 4851. The greatest factor of 4851 is 4851.
4. How to Find the LCM of 4847 and 4851?
Answer:
Least Common Multiple of 4847 and 4851 = 23512797
Step 1: Find the prime factorization of 4847
4847 = 37 x 131
Step 2: Find the prime factorization of 4851
4851 = 3 x 3 x 7 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23512797 = 3 x 3 x 7 x 7 x 11 x 37 x 131
Step 4: Therefore, the least common multiple of 4847 and 4851 is 23512797.