Least Common Multiple of 5894 and 5899
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5894 and 5899 the smallest integer that is 34768706 that is divisible by both numbers.
Least Common Multiple (LCM) of 5894 and 5899 is 34768706.
LCM(5894,5899) = 34768706
LCM of 5894 and 5899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5894 and 5899 by Prime method
- Least Common Multiple of 5894 and 5899 with GCF Formula
LCM of 5894 and 5899 is 34768706
Least common multiple can be found by multiplying the highest exponent prime factors of 5894 and 5899. First we will calculate the prime factors of 5894 and 5899.
Prime Factorization of 5894
| 2 | 5894 |
| 7 | 2947 |
| 421 | 421 |
| 1 |
Prime factors of 5894 are 2, 7,421. Prime factorization of 5894 in exponential form is:
5894 = 21×71×4211
Prime Factorization of 5899
| 17 | 5899 |
| 347 | 347 |
| 1 |
Prime factors of 5899 are 17,347. Prime factorization of 5899 in exponential form is:
5899 = 171×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 5894 and 5899.
LCM(5894,5899) = 21×71×171×3471×4211
LCM(5894,5899) = 34768706
Factors of 5894
List of positive integer factors of 5894 that divides 5894 without a remainder.
1, 2, 7, 14, 421, 842, 2947, 5894
Factors of 5899
List of positive integer factors of 5899 that divides 5899 without a remainder.
1, 17, 347, 5899
Least Common Multiple of 5894 and 5899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5894 and 5899, than apply into the LCM equation.
GCF(5894,5899) = 1
LCM(5894,5899) = ( 5894 × 5899) / 1
LCM(5894,5899) = 34768706 / 1
LCM(5894,5899) = 34768706
Properties of LCM 5894 and 5899
(i) The LCM of 5899 and 5894 is associative
LCM of 5894 and 5899 = LCM of 5899 and 5894
Related Least Common Multiples of 5894
Related Least Common Multiples of 5899
Frequently Asked Questions on LCM of 5894 and 5899
1. What is the LCM of 5894 and 5899?
Answer: LCM of 5894 and 5899 is 34768706.
2. What are the Factors of 5894?
Answer: Factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894. There are 8 integers that are factors of 5894. The greatest factor of 5894 is 5894.
3. What are the Factors of 5899?
Answer: Factors of 5899 are 1, 17, 347, 5899. There are 4 integers that are factors of 5899. The greatest factor of 5899 is 5899.
4. How to Find the LCM of 5894 and 5899?
Answer:
Least Common Multiple of 5894 and 5899 = 34768706
Step 1: Find the prime factorization of 5894
5894 = 2 x 7 x 421
Step 2: Find the prime factorization of 5899
5899 = 17 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34768706 = 2 x 7 x 17 x 347 x 421
Step 4: Therefore, the least common multiple of 5894 and 5899 is 34768706.