Least Common Multiple of 893 and 895
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 895 the smallest integer that is 799235 that is divisible by both numbers.
Least Common Multiple (LCM) of 893 and 895 is 799235.
LCM(893,895) = 799235
LCM of 893 and 895
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 893 and 895 by Prime method
- Least Common Multiple of 893 and 895 with GCF Formula
LCM of 893 and 895 is 799235
Least common multiple can be found by multiplying the highest exponent prime factors of 893 and 895. First we will calculate the prime factors of 893 and 895.
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 895
| 5 | 895 |
| 179 | 179 |
| 1 |
Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:
895 = 51×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 893 and 895.
LCM(893,895) = 51×191×471×1791
LCM(893,895) = 799235
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Least Common Multiple of 893 and 895 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 895, than apply into the LCM equation.
GCF(893,895) = 1
LCM(893,895) = ( 893 × 895) / 1
LCM(893,895) = 799235 / 1
LCM(893,895) = 799235
Properties of LCM 893 and 895
(i) The LCM of 895 and 893 is associative
LCM of 893 and 895 = LCM of 895 and 893
Related Least Common Multiples of 893
Related Least Common Multiples of 895
Frequently Asked Questions on LCM of 893 and 895
1. What is the LCM of 893 and 895?
Answer: LCM of 893 and 895 is 799235.
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 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.
4. How to Find the LCM of 893 and 895?
Answer:
Least Common Multiple of 893 and 895 = 799235
Step 1: Find the prime factorization of 893
893 = 19 x 47
Step 2: Find the prime factorization of 895
895 = 5 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 799235 = 5 x 19 x 47 x 179
Step 4: Therefore, the least common multiple of 893 and 895 is 799235.
