Least Common Multiple of 889 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 889 and 897 the smallest integer that is 797433 that is divisible by both numbers.
Least Common Multiple (LCM) of 889 and 897 is 797433.
LCM(889,897) = 797433
LCM of 889 and 897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 889 and 897 by Prime method
- Least Common Multiple of 889 and 897 with GCF Formula
LCM of 889 and 897 is 797433
Least common multiple can be found by multiplying the highest exponent prime factors of 889 and 897. First we will calculate the prime factors of 889 and 897.
Prime Factorization of 889
| 7 | 889 |
| 127 | 127 |
| 1 |
Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:
889 = 71×1271
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 889 and 897.
LCM(889,897) = 31×71×131×231×1271
LCM(889,897) = 797433
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1, 7, 127, 889
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 889 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 889 and 897, than apply into the LCM equation.
GCF(889,897) = 1
LCM(889,897) = ( 889 × 897) / 1
LCM(889,897) = 797433 / 1
LCM(889,897) = 797433
Properties of LCM 889 and 897
(i) The LCM of 897 and 889 is associative
LCM of 889 and 897 = LCM of 897 and 889
Related Least Common Multiples of 889
Related Least Common Multiples of 897
Frequently Asked Questions on LCM of 889 and 897
1. What is the LCM of 889 and 897?
Answer: LCM of 889 and 897 is 797433.
2. What are the Factors of 889?
Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.
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 889 and 897?
Answer:
Least Common Multiple of 889 and 897 = 797433
Step 1: Find the prime factorization of 889
889 = 7 x 127
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 = 797433 = 3 x 7 x 13 x 23 x 127
Step 4: Therefore, the least common multiple of 889 and 897 is 797433.