Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4841 and 4847 the smallest integer that is 23464327 that is divisible by both numbers.
Least Common Multiple (LCM) of 4841 and 4847 is 23464327.
LCM(4841,4847) = 23464327
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 4841 and 4847. First we will calculate the prime factors of 4841 and 4847.
Prime Factorization of 4841
47 | 4841 |
103 | 103 |
1 |
Prime factors of 4841 are 47,103. Prime factorization of 4841 in exponential form is:
4841 = 471×1031
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 4841 and 4847.
LCM(4841,4847) = 371×471×1031×1311
LCM(4841,4847) = 23464327
Factors of 4841
List of positive integer factors of 4841 that divides 4841 without a remainder.
1, 47, 103, 4841
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 4841 and 4847, than apply into the LCM equation.
GCF(4841,4847) = 1
LCM(4841,4847) = ( 4841 × 4847) / 1
LCM(4841,4847) = 23464327 / 1
LCM(4841,4847) = 23464327
(i) The LCM of 4847 and 4841 is associative
LCM of 4841 and 4847 = LCM of 4847 and 4841
1. What is the LCM of 4841 and 4847?
Answer: LCM of 4841 and 4847 is 23464327.
2. What are the Factors of 4841?
Answer: Factors of 4841 are 1, 47, 103, 4841. There are 4 integers that are factors of 4841. The greatest factor of 4841 is 4841.
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 4841 and 4847?
Answer:
Least Common Multiple of 4841 and 4847 = 23464327
Step 1: Find the prime factorization of 4841
4841 = 47 x 103
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 = 23464327 = 37 x 47 x 103 x 131
Step 4: Therefore, the least common multiple of 4841 and 4847 is 23464327.