Least Common Multiple of 886 and 893
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 886 and 893 the smallest integer that is 791198 that is divisible by both numbers.
Least Common Multiple (LCM) of 886 and 893 is 791198.
LCM(886,893) = 791198
LCM of 886 and 893
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 886 and 893 by Prime method
- Least Common Multiple of 886 and 893 with GCF Formula
LCM of 886 and 893 is 791198
Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 893. First we will calculate the prime factors of 886 and 893.
Prime Factorization of 886
| 2 | 886 |
| 443 | 443 |
| 1 |
Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:
886 = 21×4431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 886 and 893.
LCM(886,893) = 21×191×471×4431
LCM(886,893) = 791198
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Least Common Multiple of 886 and 893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 886 and 893, than apply into the LCM equation.
GCF(886,893) = 1
LCM(886,893) = ( 886 × 893) / 1
LCM(886,893) = 791198 / 1
LCM(886,893) = 791198
Properties of LCM 886 and 893
(i) The LCM of 893 and 886 is associative
LCM of 886 and 893 = LCM of 893 and 886
Related Least Common Multiples of 886
Related Least Common Multiples of 893
Frequently Asked Questions on LCM of 886 and 893
1. What is the LCM of 886 and 893?
Answer: LCM of 886 and 893 is 791198.
2. What are the Factors of 886?
Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.
3. 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.
4. How to Find the LCM of 886 and 893?
Answer:
Least Common Multiple of 886 and 893 = 791198
Step 1: Find the prime factorization of 886
886 = 2 x 443
Step 2: Find the prime factorization of 893
893 = 19 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 791198 = 2 x 19 x 47 x 443
Step 4: Therefore, the least common multiple of 886 and 893 is 791198.
