Least Common Multiple of 4851 and 4853
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4851 and 4853 the smallest integer that is 23541903 that is divisible by both numbers.
Least Common Multiple (LCM) of 4851 and 4853 is 23541903.
LCM(4851,4853) = 23541903
LCM of 4851 and 4853
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4851 and 4853 by Prime method
- Least Common Multiple of 4851 and 4853 with GCF Formula
LCM of 4851 and 4853 is 23541903
Least common multiple can be found by multiplying the highest exponent prime factors of 4851 and 4853. First we will calculate the prime factors of 4851 and 4853.
Prime Factorization of 4851
| 3 | 4851 |
| 3 | 1617 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 4851 are 3, 7,11. Prime factorization of 4851 in exponential form is:
4851 = 32×72×111
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 4851 and 4853.
LCM(4851,4853) = 32×72×111×231×2111
LCM(4851,4853) = 23541903
Factors of 4851
List of positive integer factors of 4851 that divides 4851 without a remainder.
1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851
Factors of 4853
List of positive integer factors of 4853 that divides 4853 without a remainder.
1, 23, 211, 4853
Least Common Multiple of 4851 and 4853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4851 and 4853, than apply into the LCM equation.
GCF(4851,4853) = 1
LCM(4851,4853) = ( 4851 × 4853) / 1
LCM(4851,4853) = 23541903 / 1
LCM(4851,4853) = 23541903
Properties of LCM 4851 and 4853
(i) The LCM of 4853 and 4851 is associative
LCM of 4851 and 4853 = LCM of 4853 and 4851
Related Least Common Multiples of 4851
Related Least Common Multiples of 4853
Frequently Asked Questions on LCM of 4851 and 4853
1. What is the LCM of 4851 and 4853?
Answer: LCM of 4851 and 4853 is 23541903.
2. What are the Factors of 4851?
Answer: Factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851. There are 18 integers that are factors of 4851. The greatest factor of 4851 is 4851.
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 4851 and 4853?
Answer:
Least Common Multiple of 4851 and 4853 = 23541903
Step 1: Find the prime factorization of 4851
4851 = 3 x 3 x 7 x 7 x 11
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 = 23541903 = 3 x 3 x 7 x 7 x 11 x 23 x 211
Step 4: Therefore, the least common multiple of 4851 and 4853 is 23541903.