Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4846 and 4852 the smallest integer that is 11756396 that is divisible by both numbers.
Least Common Multiple (LCM) of 4846 and 4852 is 11756396.
LCM(4846,4852) = 11756396
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 4846 and 4852. First we will calculate the prime factors of 4846 and 4852.
Prime Factorization of 4846
2 | 4846 |
2423 | 2423 |
1 |
Prime factors of 4846 are 2,2423. Prime factorization of 4846 in exponential form is:
4846 = 21×24231
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 4846 and 4852.
LCM(4846,4852) = 22×12131×24231
LCM(4846,4852) = 11756396
Factors of 4846
List of positive integer factors of 4846 that divides 4846 without a remainder.
1, 2, 2423, 4846
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 4846 and 4852, than apply into the LCM equation.
GCF(4846,4852) = 2
LCM(4846,4852) = ( 4846 × 4852) / 2
LCM(4846,4852) = 23512792 / 2
LCM(4846,4852) = 11756396
(i) The LCM of 4852 and 4846 is associative
LCM of 4846 and 4852 = LCM of 4852 and 4846
1. What is the LCM of 4846 and 4852?
Answer: LCM of 4846 and 4852 is 11756396.
2. What are the Factors of 4846?
Answer: Factors of 4846 are 1, 2, 2423, 4846. There are 4 integers that are factors of 4846. The greatest factor of 4846 is 4846.
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 4846 and 4852?
Answer:
Least Common Multiple of 4846 and 4852 = 11756396
Step 1: Find the prime factorization of 4846
4846 = 2 x 2423
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 = 11756396 = 2 x 2 x 1213 x 2423
Step 4: Therefore, the least common multiple of 4846 and 4852 is 11756396.