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 4852 the smallest integer that is 23517644 that is divisible by both numbers.
Least Common Multiple (LCM) of 4847 and 4852 is 23517644.
LCM(4847,4852) = 23517644
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 4847 and 4852. First we will calculate the prime factors of 4847 and 4852.
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 4852
2 | 4852 |
2 | 2426 |
1213 | 1213 |
1 |
Prime factors of 4852 are 2,1213. Prime factorization of 4852 in exponential form is:
4852 = 22×12131
Now multiplying the highest exponent prime factors to calculate the LCM of 4847 and 4852.
LCM(4847,4852) = 22×371×1311×12131
LCM(4847,4852) = 23517644
Factors of 4847
List of positive integer factors of 4847 that divides 4847 without a remainder.
1, 37, 131, 4847
Factors of 4852
List of positive integer factors of 4852 that divides 4852 without a remainder.
1, 2, 4, 1213, 2426, 4852
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4847 and 4852, than apply into the LCM equation.
GCF(4847,4852) = 1
LCM(4847,4852) = ( 4847 × 4852) / 1
LCM(4847,4852) = 23517644 / 1
LCM(4847,4852) = 23517644
(i) The LCM of 4852 and 4847 is associative
LCM of 4847 and 4852 = LCM of 4852 and 4847
1. What is the LCM of 4847 and 4852?
Answer: LCM of 4847 and 4852 is 23517644.
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 4852?
Answer: Factors of 4852 are 1, 2, 4, 1213, 2426, 4852. There are 6 integers that are factors of 4852. The greatest factor of 4852 is 4852.
4. How to Find the LCM of 4847 and 4852?
Answer:
Least Common Multiple of 4847 and 4852 = 23517644
Step 1: Find the prime factorization of 4847
4847 = 37 x 131
Step 2: Find the prime factorization of 4852
4852 = 2 x 2 x 1213
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23517644 = 2 x 2 x 37 x 131 x 1213
Step 4: Therefore, the least common multiple of 4847 and 4852 is 23517644.