Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4844 and 4847 the smallest integer that is 23478868 that is divisible by both numbers.
Least Common Multiple (LCM) of 4844 and 4847 is 23478868.
LCM(4844,4847) = 23478868
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 4844 and 4847. First we will calculate the prime factors of 4844 and 4847.
Prime Factorization of 4844
2 | 4844 |
2 | 2422 |
7 | 1211 |
173 | 173 |
1 |
Prime factors of 4844 are 2, 7,173. Prime factorization of 4844 in exponential form is:
4844 = 22×71×1731
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 4844 and 4847.
LCM(4844,4847) = 22×71×371×1311×1731
LCM(4844,4847) = 23478868
Factors of 4844
List of positive integer factors of 4844 that divides 4844 without a remainder.
1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844
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 4844 and 4847, than apply into the LCM equation.
GCF(4844,4847) = 1
LCM(4844,4847) = ( 4844 × 4847) / 1
LCM(4844,4847) = 23478868 / 1
LCM(4844,4847) = 23478868
(i) The LCM of 4847 and 4844 is associative
LCM of 4844 and 4847 = LCM of 4847 and 4844
1. What is the LCM of 4844 and 4847?
Answer: LCM of 4844 and 4847 is 23478868.
2. What are the Factors of 4844?
Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.
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 4844 and 4847?
Answer:
Least Common Multiple of 4844 and 4847 = 23478868
Step 1: Find the prime factorization of 4844
4844 = 2 x 2 x 7 x 173
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 = 23478868 = 2 x 2 x 7 x 37 x 131 x 173
Step 4: Therefore, the least common multiple of 4844 and 4847 is 23478868.