Least Common Multiple of 4839 and 4847
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4839 and 4847 the smallest integer that is 23454633 that is divisible by both numbers.
Least Common Multiple (LCM) of 4839 and 4847 is 23454633.
LCM(4839,4847) = 23454633
LCM of 4839 and 4847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4839 and 4847 by Prime method
- Least Common Multiple of 4839 and 4847 with GCF Formula
LCM of 4839 and 4847 is 23454633
Least common multiple can be found by multiplying the highest exponent prime factors of 4839 and 4847. First we will calculate the prime factors of 4839 and 4847.
Prime Factorization of 4839
| 3 | 4839 |
| 1613 | 1613 |
| 1 |
Prime factors of 4839 are 3,1613. Prime factorization of 4839 in exponential form is:
4839 = 31×16131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4839 and 4847.
LCM(4839,4847) = 31×371×1311×16131
LCM(4839,4847) = 23454633
Factors of 4839
List of positive integer factors of 4839 that divides 4839 without a remainder.
1, 3, 1613, 4839
Factors of 4847
List of positive integer factors of 4847 that divides 4847 without a remainder.
1, 37, 131, 4847
Least Common Multiple of 4839 and 4847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4839 and 4847, than apply into the LCM equation.
GCF(4839,4847) = 1
LCM(4839,4847) = ( 4839 × 4847) / 1
LCM(4839,4847) = 23454633 / 1
LCM(4839,4847) = 23454633
Properties of LCM 4839 and 4847
(i) The LCM of 4847 and 4839 is associative
LCM of 4839 and 4847 = LCM of 4847 and 4839
Related Least Common Multiples of 4839
Related Least Common Multiples of 4847
Frequently Asked Questions on LCM of 4839 and 4847
1. What is the LCM of 4839 and 4847?
Answer: LCM of 4839 and 4847 is 23454633.
2. What are the Factors of 4839?
Answer: Factors of 4839 are 1, 3, 1613, 4839. There are 4 integers that are factors of 4839. The greatest factor of 4839 is 4839.
3. 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.
4. How to Find the LCM of 4839 and 4847?
Answer:
Least Common Multiple of 4839 and 4847 = 23454633
Step 1: Find the prime factorization of 4839
4839 = 3 x 1613
Step 2: Find the prime factorization of 4847
4847 = 37 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23454633 = 3 x 37 x 131 x 1613
Step 4: Therefore, the least common multiple of 4839 and 4847 is 23454633.