Least Common Multiple of 47299 and 47303
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47299 and 47303 the smallest integer that is 2237384597 that is divisible by both numbers.
Least Common Multiple (LCM) of 47299 and 47303 is 2237384597.
LCM(47299,47303) = 2237384597
LCM of 47299 and 47303
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47299 and 47303 by Prime method
- Least Common Multiple of 47299 and 47303 with GCF Formula
LCM of 47299 and 47303 is 2237384597
Least common multiple can be found by multiplying the highest exponent prime factors of 47299 and 47303. First we will calculate the prime factors of 47299 and 47303.
Prime Factorization of 47299
| 7 | 47299 |
| 29 | 6757 |
| 233 | 233 |
| 1 |
Prime factors of 47299 are 7, 29,233. Prime factorization of 47299 in exponential form is:
47299 = 71×291×2331
Prime Factorization of 47303
| 47303 | 47303 |
| 1 |
Prime factors of 47303 are 47303. Prime factorization of 47303 in exponential form is:
47303 = 473031
Now multiplying the highest exponent prime factors to calculate the LCM of 47299 and 47303.
LCM(47299,47303) = 71×291×2331×473031
LCM(47299,47303) = 2237384597
Factors of 47299
List of positive integer factors of 47299 that divides 47299 without a remainder.
1, 7, 29, 203, 233, 1631, 6757, 47299
Factors of 47303
List of positive integer factors of 47303 that divides 47303 without a remainder.
1, 47303
Least Common Multiple of 47299 and 47303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47299 and 47303, than apply into the LCM equation.
GCF(47299,47303) = 1
LCM(47299,47303) = ( 47299 × 47303) / 1
LCM(47299,47303) = 2237384597 / 1
LCM(47299,47303) = 2237384597
Properties of LCM 47299 and 47303
(i) The LCM of 47303 and 47299 is associative
LCM of 47299 and 47303 = LCM of 47303 and 47299
Related Least Common Multiples of 47299
Related Least Common Multiples of 47303
Frequently Asked Questions on LCM of 47299 and 47303
1. What is the LCM of 47299 and 47303?
Answer: LCM of 47299 and 47303 is 2237384597.
2. What are the Factors of 47299?
Answer: Factors of 47299 are 1, 7, 29, 203, 233, 1631, 6757, 47299. There are 8 integers that are factors of 47299. The greatest factor of 47299 is 47299.
3. 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.
4. How to Find the LCM of 47299 and 47303?
Answer:
Least Common Multiple of 47299 and 47303 = 2237384597
Step 1: Find the prime factorization of 47299
47299 = 7 x 29 x 233
Step 2: Find the prime factorization of 47303
47303 = 47303
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2237384597 = 7 x 29 x 233 x 47303
Step 4: Therefore, the least common multiple of 47299 and 47303 is 2237384597.