Least Common Multiple of 897 and 899
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 897 and 899 the smallest integer that is 806403 that is divisible by both numbers.
Least Common Multiple (LCM) of 897 and 899 is 806403.
LCM(897,899) = 806403
LCM of 897 and 899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 897 and 899 by Prime method
- Least Common Multiple of 897 and 899 with GCF Formula
LCM of 897 and 899 is 806403
Least common multiple can be found by multiplying the highest exponent prime factors of 897 and 899. First we will calculate the prime factors of 897 and 899.
Prime Factorization of 897
| 3 | 897 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 897 are 3, 13,23. Prime factorization of 897 in exponential form is:
897 = 31×131×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 897 and 899.
LCM(897,899) = 31×131×231×291×311
LCM(897,899) = 806403
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Least Common Multiple of 897 and 899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 897 and 899, than apply into the LCM equation.
GCF(897,899) = 1
LCM(897,899) = ( 897 × 899) / 1
LCM(897,899) = 806403 / 1
LCM(897,899) = 806403
Properties of LCM 897 and 899
(i) The LCM of 899 and 897 is associative
LCM of 897 and 899 = LCM of 899 and 897
Related Least Common Multiples of 897
Related Least Common Multiples of 899
Frequently Asked Questions on LCM of 897 and 899
1. What is the LCM of 897 and 899?
Answer: LCM of 897 and 899 is 806403.
2. What are the Factors of 897?
Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.
3. 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.
4. How to Find the LCM of 897 and 899?
Answer:
Least Common Multiple of 897 and 899 = 806403
Step 1: Find the prime factorization of 897
897 = 3 x 13 x 23
Step 2: Find the prime factorization of 899
899 = 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 806403 = 3 x 13 x 23 x 29 x 31
Step 4: Therefore, the least common multiple of 897 and 899 is 806403.
