Least Common Multiple of 895 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 895 and 901 the smallest integer that is 806395 that is divisible by both numbers.
Least Common Multiple (LCM) of 895 and 901 is 806395.
LCM(895,901) = 806395
LCM of 895 and 901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 895 and 901 by Prime method
- Least Common Multiple of 895 and 901 with GCF Formula
LCM of 895 and 901 is 806395
Least common multiple can be found by multiplying the highest exponent prime factors of 895 and 901. First we will calculate the prime factors of 895 and 901.
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 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 895 and 901.
LCM(895,901) = 51×171×531×1791
LCM(895,901) = 806395
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Least Common Multiple of 895 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 895 and 901, than apply into the LCM equation.
GCF(895,901) = 1
LCM(895,901) = ( 895 × 901) / 1
LCM(895,901) = 806395 / 1
LCM(895,901) = 806395
Properties of LCM 895 and 901
(i) The LCM of 901 and 895 is associative
LCM of 895 and 901 = LCM of 901 and 895
Related Least Common Multiples of 895
Related Least Common Multiples of 901
Frequently Asked Questions on LCM of 895 and 901
1. What is the LCM of 895 and 901?
Answer: LCM of 895 and 901 is 806395.
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 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 895 and 901?
Answer:
Least Common Multiple of 895 and 901 = 806395
Step 1: Find the prime factorization of 895
895 = 5 x 179
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 = 806395 = 5 x 17 x 53 x 179
Step 4: Therefore, the least common multiple of 895 and 901 is 806395.