Least Common Multiple of 897 and 901
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 901 the smallest integer that is 808197 that is divisible by both numbers.
Least Common Multiple (LCM) of 897 and 901 is 808197.
LCM(897,901) = 808197
LCM of 897 and 901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 897 and 901 by Prime method
- Least Common Multiple of 897 and 901 with GCF Formula
LCM of 897 and 901 is 808197
Least common multiple can be found by multiplying the highest exponent prime factors of 897 and 901. First we will calculate the prime factors of 897 and 901.
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 901
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:
901 = 171×531
Now multiplying the highest exponent prime factors to calculate the LCM of 897 and 901.
LCM(897,901) = 31×131×171×231×531
LCM(897,901) = 808197
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 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Least Common Multiple of 897 and 901 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 901, than apply into the LCM equation.
GCF(897,901) = 1
LCM(897,901) = ( 897 × 901) / 1
LCM(897,901) = 808197 / 1
LCM(897,901) = 808197
Properties of LCM 897 and 901
(i) The LCM of 901 and 897 is associative
LCM of 897 and 901 = LCM of 901 and 897
Related Least Common Multiples of 897
Related Least Common Multiples of 901
Frequently Asked Questions on LCM of 897 and 901
1. What is the LCM of 897 and 901?
Answer: LCM of 897 and 901 is 808197.
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 901?
Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.
4. How to Find the LCM of 897 and 901?
Answer:
Least Common Multiple of 897 and 901 = 808197
Step 1: Find the prime factorization of 897
897 = 3 x 13 x 23
Step 2: Find the prime factorization of 901
901 = 17 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 808197 = 3 x 13 x 17 x 23 x 53
Step 4: Therefore, the least common multiple of 897 and 901 is 808197.
