Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4852 and 4857 the smallest integer that is 23566164 that is divisible by both numbers.
Least Common Multiple (LCM) of 4852 and 4857 is 23566164.
LCM(4852,4857) = 23566164
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 4852 and 4857. First we will calculate the prime factors of 4852 and 4857.
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
Prime Factorization of 4857
3 | 4857 |
1619 | 1619 |
1 |
Prime factors of 4857 are 3,1619. Prime factorization of 4857 in exponential form is:
4857 = 31×16191
Now multiplying the highest exponent prime factors to calculate the LCM of 4852 and 4857.
LCM(4852,4857) = 22×31×12131×16191
LCM(4852,4857) = 23566164
Factors of 4852
List of positive integer factors of 4852 that divides 4852 without a remainder.
1, 2, 4, 1213, 2426, 4852
Factors of 4857
List of positive integer factors of 4857 that divides 4857 without a remainder.
1, 3, 1619, 4857
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4852 and 4857, than apply into the LCM equation.
GCF(4852,4857) = 1
LCM(4852,4857) = ( 4852 × 4857) / 1
LCM(4852,4857) = 23566164 / 1
LCM(4852,4857) = 23566164
(i) The LCM of 4857 and 4852 is associative
LCM of 4852 and 4857 = LCM of 4857 and 4852
1. What is the LCM of 4852 and 4857?
Answer: LCM of 4852 and 4857 is 23566164.
2. 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.
3. What are the Factors of 4857?
Answer: Factors of 4857 are 1, 3, 1619, 4857. There are 4 integers that are factors of 4857. The greatest factor of 4857 is 4857.
4. How to Find the LCM of 4852 and 4857?
Answer:
Least Common Multiple of 4852 and 4857 = 23566164
Step 1: Find the prime factorization of 4852
4852 = 2 x 2 x 1213
Step 2: Find the prime factorization of 4857
4857 = 3 x 1619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23566164 = 2 x 2 x 3 x 1213 x 1619
Step 4: Therefore, the least common multiple of 4852 and 4857 is 23566164.