Least Common Multiple of 895 and 899
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 899 the smallest integer that is 804605 that is divisible by both numbers.
Least Common Multiple (LCM) of 895 and 899 is 804605.
LCM(895,899) = 804605
LCM of 895 and 899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 895 and 899 by Prime method
- Least Common Multiple of 895 and 899 with GCF Formula
LCM of 895 and 899 is 804605
Least common multiple can be found by multiplying the highest exponent prime factors of 895 and 899. First we will calculate the prime factors of 895 and 899.
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 899
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:
899 = 291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 895 and 899.
LCM(895,899) = 51×291×311×1791
LCM(895,899) = 804605
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Least Common Multiple of 895 and 899 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 899, than apply into the LCM equation.
GCF(895,899) = 1
LCM(895,899) = ( 895 × 899) / 1
LCM(895,899) = 804605 / 1
LCM(895,899) = 804605
Properties of LCM 895 and 899
(i) The LCM of 899 and 895 is associative
LCM of 895 and 899 = LCM of 899 and 895
Related Least Common Multiples of 895
Related Least Common Multiples of 899
Frequently Asked Questions on LCM of 895 and 899
1. What is the LCM of 895 and 899?
Answer: LCM of 895 and 899 is 804605.
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 899?
Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.
4. How to Find the LCM of 895 and 899?
Answer:
Least Common Multiple of 895 and 899 = 804605
Step 1: Find the prime factorization of 895
895 = 5 x 179
Step 2: Find the prime factorization of 899
899 = 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 804605 = 5 x 29 x 31 x 179
Step 4: Therefore, the least common multiple of 895 and 899 is 804605.