Least Common Multiple of 895 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 895 and 897 the smallest integer that is 802815 that is divisible by both numbers.
Least Common Multiple (LCM) of 895 and 897 is 802815.
LCM(895,897) = 802815
LCM of 895 and 897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 895 and 897 by Prime method
- Least Common Multiple of 895 and 897 with GCF Formula
LCM of 895 and 897 is 802815
Least common multiple can be found by multiplying the highest exponent prime factors of 895 and 897. First we will calculate the prime factors of 895 and 897.
Prime Factorization of 895
| 5 | 895 |
| 179 | 179 |
| 1 |
Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:
895 = 51×1791
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 895 and 897.
LCM(895,897) = 31×51×131×231×1791
LCM(895,897) = 802815
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1, 5, 179, 895
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 895 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 895 and 897, than apply into the LCM equation.
GCF(895,897) = 1
LCM(895,897) = ( 895 × 897) / 1
LCM(895,897) = 802815 / 1
LCM(895,897) = 802815
Properties of LCM 895 and 897
(i) The LCM of 897 and 895 is associative
LCM of 895 and 897 = LCM of 897 and 895
Related Least Common Multiples of 895
Related Least Common Multiples of 897
Frequently Asked Questions on LCM of 895 and 897
1. What is the LCM of 895 and 897?
Answer: LCM of 895 and 897 is 802815.
2. What are the Factors of 895?
Answer: Factors of 895 are 1, 5, 179, 895. There are 4 integers that are factors of 895. The greatest factor of 895 is 895.
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 895 and 897?
Answer:
Least Common Multiple of 895 and 897 = 802815
Step 1: Find the prime factorization of 895
895 = 5 x 179
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 = 802815 = 3 x 5 x 13 x 23 x 179
Step 4: Therefore, the least common multiple of 895 and 897 is 802815.