Least Common Multiple of 893 and 898
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 898 the smallest integer that is 801914 that is divisible by both numbers.
Least Common Multiple (LCM) of 893 and 898 is 801914.
LCM(893,898) = 801914
LCM of 893 and 898
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 893 and 898 by Prime method
- Least Common Multiple of 893 and 898 with GCF Formula
LCM of 893 and 898 is 801914
Least common multiple can be found by multiplying the highest exponent prime factors of 893 and 898. First we will calculate the prime factors of 893 and 898.
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 898
| 2 | 898 |
| 449 | 449 |
| 1 |
Prime factors of 898 are 2,449. Prime factorization of 898 in exponential form is:
898 = 21×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 893 and 898.
LCM(893,898) = 21×191×471×4491
LCM(893,898) = 801914
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Least Common Multiple of 893 and 898 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 898, than apply into the LCM equation.
GCF(893,898) = 1
LCM(893,898) = ( 893 × 898) / 1
LCM(893,898) = 801914 / 1
LCM(893,898) = 801914
Properties of LCM 893 and 898
(i) The LCM of 898 and 893 is associative
LCM of 893 and 898 = LCM of 898 and 893
Related Least Common Multiples of 893
Related Least Common Multiples of 898
Frequently Asked Questions on LCM of 893 and 898
1. What is the LCM of 893 and 898?
Answer: LCM of 893 and 898 is 801914.
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 898?
Answer: Factors of 898 are 1, 2, 449, 898. There are 4 integers that are factors of 898. The greatest factor of 898 is 898.
4. How to Find the LCM of 893 and 898?
Answer:
Least Common Multiple of 893 and 898 = 801914
Step 1: Find the prime factorization of 893
893 = 19 x 47
Step 2: Find the prime factorization of 898
898 = 2 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 801914 = 2 x 19 x 47 x 449
Step 4: Therefore, the least common multiple of 893 and 898 is 801914.