Least Common Multiple of 47303 and 47307
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47303 and 47307 the smallest integer that is 2237763021 that is divisible by both numbers.
Least Common Multiple (LCM) of 47303 and 47307 is 2237763021.
LCM(47303,47307) = 2237763021
LCM of 47303 and 47307
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47303 and 47307 by Prime method
- Least Common Multiple of 47303 and 47307 with GCF Formula
LCM of 47303 and 47307 is 2237763021
Least common multiple can be found by multiplying the highest exponent prime factors of 47303 and 47307. First we will calculate the prime factors of 47303 and 47307.
Prime Factorization of 47303
| 47303 | 47303 |
| 1 |
Prime factors of 47303 are 47303. Prime factorization of 47303 in exponential form is:
47303 = 473031
Prime Factorization of 47307
| 3 | 47307 |
| 13 | 15769 |
| 1213 | 1213 |
| 1 |
Prime factors of 47307 are 3, 13,1213. Prime factorization of 47307 in exponential form is:
47307 = 31×131×12131
Now multiplying the highest exponent prime factors to calculate the LCM of 47303 and 47307.
LCM(47303,47307) = 31×131×12131×473031
LCM(47303,47307) = 2237763021
Factors of 47303
List of positive integer factors of 47303 that divides 47303 without a remainder.
1, 47303
Factors of 47307
List of positive integer factors of 47307 that divides 47307 without a remainder.
1, 3, 13, 39, 1213, 3639, 15769, 47307
Least Common Multiple of 47303 and 47307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47303 and 47307, than apply into the LCM equation.
GCF(47303,47307) = 1
LCM(47303,47307) = ( 47303 × 47307) / 1
LCM(47303,47307) = 2237763021 / 1
LCM(47303,47307) = 2237763021
Properties of LCM 47303 and 47307
(i) The LCM of 47307 and 47303 is associative
LCM of 47303 and 47307 = LCM of 47307 and 47303
Related Least Common Multiples of 47303
Related Least Common Multiples of 47307
Frequently Asked Questions on LCM of 47303 and 47307
1. What is the LCM of 47303 and 47307?
Answer: LCM of 47303 and 47307 is 2237763021.
2. What are the Factors of 47303?
Answer: Factors of 47303 are 1, 47303. There are 2 integers that are factors of 47303. The greatest factor of 47303 is 47303.
3. What are the Factors of 47307?
Answer: Factors of 47307 are 1, 3, 13, 39, 1213, 3639, 15769, 47307. There are 8 integers that are factors of 47307. The greatest factor of 47307 is 47307.
4. How to Find the LCM of 47303 and 47307?
Answer:
Least Common Multiple of 47303 and 47307 = 2237763021
Step 1: Find the prime factorization of 47303
47303 = 47303
Step 2: Find the prime factorization of 47307
47307 = 3 x 13 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 = 2237763021 = 3 x 13 x 1213 x 47303
Step 4: Therefore, the least common multiple of 47303 and 47307 is 2237763021.