Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4843 and 4847 the smallest integer that is 23474021 that is divisible by both numbers.
Least Common Multiple (LCM) of 4843 and 4847 is 23474021.
LCM(4843,4847) = 23474021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4843 and 4847. First we will calculate the prime factors of 4843 and 4847.
Prime Factorization of 4843
29 | 4843 |
167 | 167 |
1 |
Prime factors of 4843 are 29,167. Prime factorization of 4843 in exponential form is:
4843 = 291×1671
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 4843 and 4847.
LCM(4843,4847) = 291×371×1311×1671
LCM(4843,4847) = 23474021
Factors of 4843
List of positive integer factors of 4843 that divides 4843 without a remainder.
1, 29, 167, 4843
Factors of 4847
List of positive integer factors of 4847 that divides 4847 without a remainder.
1, 37, 131, 4847
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4843 and 4847, than apply into the LCM equation.
GCF(4843,4847) = 1
LCM(4843,4847) = ( 4843 × 4847) / 1
LCM(4843,4847) = 23474021 / 1
LCM(4843,4847) = 23474021
(i) The LCM of 4847 and 4843 is associative
LCM of 4843 and 4847 = LCM of 4847 and 4843
1. What is the LCM of 4843 and 4847?
Answer: LCM of 4843 and 4847 is 23474021.
2. What are the Factors of 4843?
Answer: Factors of 4843 are 1, 29, 167, 4843. There are 4 integers that are factors of 4843. The greatest factor of 4843 is 4843.
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 4843 and 4847?
Answer:
Least Common Multiple of 4843 and 4847 = 23474021
Step 1: Find the prime factorization of 4843
4843 = 29 x 167
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 = 23474021 = 29 x 37 x 131 x 167
Step 4: Therefore, the least common multiple of 4843 and 4847 is 23474021.