Least Common Multiple of 4803 and 4807
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4803 and 4807 the smallest integer that is 23088021 that is divisible by both numbers.
Least Common Multiple (LCM) of 4803 and 4807 is 23088021.
LCM(4803,4807) = 23088021
LCM of 4803 and 4807
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4803 and 4807 by Prime method
- Least Common Multiple of 4803 and 4807 with GCF Formula
LCM of 4803 and 4807 is 23088021
Least common multiple can be found by multiplying the highest exponent prime factors of 4803 and 4807. First we will calculate the prime factors of 4803 and 4807.
Prime Factorization of 4803
| 3 | 4803 |
| 1601 | 1601 |
| 1 |
Prime factors of 4803 are 3,1601. Prime factorization of 4803 in exponential form is:
4803 = 31×16011
Prime Factorization of 4807
| 11 | 4807 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 4807 are 11, 19,23. Prime factorization of 4807 in exponential form is:
4807 = 111×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 4803 and 4807.
LCM(4803,4807) = 31×111×191×231×16011
LCM(4803,4807) = 23088021
Factors of 4803
List of positive integer factors of 4803 that divides 4803 without a remainder.
1, 3, 1601, 4803
Factors of 4807
List of positive integer factors of 4807 that divides 4807 without a remainder.
1, 11, 19, 23, 209, 253, 437, 4807
Least Common Multiple of 4803 and 4807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4803 and 4807, than apply into the LCM equation.
GCF(4803,4807) = 1
LCM(4803,4807) = ( 4803 × 4807) / 1
LCM(4803,4807) = 23088021 / 1
LCM(4803,4807) = 23088021
Properties of LCM 4803 and 4807
(i) The LCM of 4807 and 4803 is associative
LCM of 4803 and 4807 = LCM of 4807 and 4803
Related Least Common Multiples of 4803
Related Least Common Multiples of 4807
Frequently Asked Questions on LCM of 4803 and 4807
1. What is the LCM of 4803 and 4807?
Answer: LCM of 4803 and 4807 is 23088021.
2. What are the Factors of 4803?
Answer: Factors of 4803 are 1, 3, 1601, 4803. There are 4 integers that are factors of 4803. The greatest factor of 4803 is 4803.
3. What are the Factors of 4807?
Answer: Factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807. There are 8 integers that are factors of 4807. The greatest factor of 4807 is 4807.
4. How to Find the LCM of 4803 and 4807?
Answer:
Least Common Multiple of 4803 and 4807 = 23088021
Step 1: Find the prime factorization of 4803
4803 = 3 x 1601
Step 2: Find the prime factorization of 4807
4807 = 11 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23088021 = 3 x 11 x 19 x 23 x 1601
Step 4: Therefore, the least common multiple of 4803 and 4807 is 23088021.