Least Common Multiple of 899 and 903
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 899 and 903 the smallest integer that is 811797 that is divisible by both numbers.
Least Common Multiple (LCM) of 899 and 903 is 811797.
LCM(899,903) = 811797
LCM of 899 and 903
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 899 and 903 by Prime method
- Least Common Multiple of 899 and 903 with GCF Formula
LCM of 899 and 903 is 811797
Least common multiple can be found by multiplying the highest exponent prime factors of 899 and 903. First we will calculate the prime factors of 899 and 903.
Prime Factorization of 899
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:
899 = 291×311
Prime Factorization of 903
| 3 | 903 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 903 are 3, 7,43. Prime factorization of 903 in exponential form is:
903 = 31×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 899 and 903.
LCM(899,903) = 31×71×291×311×431
LCM(899,903) = 811797
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Least Common Multiple of 899 and 903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 899 and 903, than apply into the LCM equation.
GCF(899,903) = 1
LCM(899,903) = ( 899 × 903) / 1
LCM(899,903) = 811797 / 1
LCM(899,903) = 811797
Properties of LCM 899 and 903
(i) The LCM of 903 and 899 is associative
LCM of 899 and 903 = LCM of 903 and 899
Related Least Common Multiples of 899
Related Least Common Multiples of 903
Frequently Asked Questions on LCM of 899 and 903
1. What is the LCM of 899 and 903?
Answer: LCM of 899 and 903 is 811797.
2. What are the Factors of 899?
Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.
3. What are the Factors of 903?
Answer: Factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903. There are 8 integers that are factors of 903. The greatest factor of 903 is 903.
4. How to Find the LCM of 899 and 903?
Answer:
Least Common Multiple of 899 and 903 = 811797
Step 1: Find the prime factorization of 899
899 = 29 x 31
Step 2: Find the prime factorization of 903
903 = 3 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 811797 = 3 x 7 x 29 x 31 x 43
Step 4: Therefore, the least common multiple of 899 and 903 is 811797.