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 4853 the smallest integer that is 23517638 that is divisible by both numbers.
Least Common Multiple (LCM) of 4846 and 4853 is 23517638.
LCM(4846,4853) = 23517638
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 4853. First we will calculate the prime factors of 4846 and 4853.
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 4853
23 | 4853 |
211 | 211 |
1 |
Prime factors of 4853 are 23,211. Prime factorization of 4853 in exponential form is:
4853 = 231×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 4846 and 4853.
LCM(4846,4853) = 21×231×2111×24231
LCM(4846,4853) = 23517638
Factors of 4846
List of positive integer factors of 4846 that divides 4846 without a remainder.
1, 2, 2423, 4846
Factors of 4853
List of positive integer factors of 4853 that divides 4853 without a remainder.
1, 23, 211, 4853
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4846 and 4853, than apply into the LCM equation.
GCF(4846,4853) = 1
LCM(4846,4853) = ( 4846 × 4853) / 1
LCM(4846,4853) = 23517638 / 1
LCM(4846,4853) = 23517638
(i) The LCM of 4853 and 4846 is associative
LCM of 4846 and 4853 = LCM of 4853 and 4846
1. What is the LCM of 4846 and 4853?
Answer: LCM of 4846 and 4853 is 23517638.
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 4853?
Answer: Factors of 4853 are 1, 23, 211, 4853. There are 4 integers that are factors of 4853. The greatest factor of 4853 is 4853.
4. How to Find the LCM of 4846 and 4853?
Answer:
Least Common Multiple of 4846 and 4853 = 23517638
Step 1: Find the prime factorization of 4846
4846 = 2 x 2423
Step 2: Find the prime factorization of 4853
4853 = 23 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23517638 = 2 x 23 x 211 x 2423
Step 4: Therefore, the least common multiple of 4846 and 4853 is 23517638.