Least Common Multiple of 893 and 897
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 893 and 897 the smallest integer that is 801021 that is divisible by both numbers.
Least Common Multiple (LCM) of 893 and 897 is 801021.
LCM(893,897) = 801021
LCM of 893 and 897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 893 and 897 by Prime method
- Least Common Multiple of 893 and 897 with GCF Formula
LCM of 893 and 897 is 801021
Least common multiple can be found by multiplying the highest exponent prime factors of 893 and 897. First we will calculate the prime factors of 893 and 897.
Prime Factorization of 893
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:
893 = 191×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 893 and 897.
LCM(893,897) = 31×131×191×231×471
LCM(893,897) = 801021
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Least Common Multiple of 893 and 897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 893 and 897, than apply into the LCM equation.
GCF(893,897) = 1
LCM(893,897) = ( 893 × 897) / 1
LCM(893,897) = 801021 / 1
LCM(893,897) = 801021
Properties of LCM 893 and 897
(i) The LCM of 897 and 893 is associative
LCM of 893 and 897 = LCM of 897 and 893
Related Least Common Multiples of 893
Related Least Common Multiples of 897
Frequently Asked Questions on LCM of 893 and 897
1. What is the LCM of 893 and 897?
Answer: LCM of 893 and 897 is 801021.
2. What are the Factors of 893?
Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.
3. 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.
4. How to Find the LCM of 893 and 897?
Answer:
Least Common Multiple of 893 and 897 = 801021
Step 1: Find the prime factorization of 893
893 = 19 x 47
Step 2: Find the prime factorization of 897
897 = 3 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 801021 = 3 x 13 x 19 x 23 x 47
Step 4: Therefore, the least common multiple of 893 and 897 is 801021.