Least Common Multiple of 889 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 889 and 893 the smallest integer that is 793877 that is divisible by both numbers.
Least Common Multiple (LCM) of 889 and 893 is 793877.
LCM(889,893) = 793877
LCM of 889 and 893
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 889 and 893 by Prime method
- Least Common Multiple of 889 and 893 with GCF Formula
LCM of 889 and 893 is 793877
Least common multiple can be found by multiplying the highest exponent prime factors of 889 and 893. First we will calculate the prime factors of 889 and 893.
Prime Factorization of 889
| 7 | 889 |
| 127 | 127 |
| 1 |
Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:
889 = 71×1271
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 889 and 893.
LCM(889,893) = 71×191×471×1271
LCM(889,893) = 793877
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Least Common Multiple of 889 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 889 and 893, than apply into the LCM equation.
GCF(889,893) = 1
LCM(889,893) = ( 889 × 893) / 1
LCM(889,893) = 793877 / 1
LCM(889,893) = 793877
Properties of LCM 889 and 893
(i) The LCM of 893 and 889 is associative
LCM of 889 and 893 = LCM of 893 and 889
Related Least Common Multiples of 889
Related Least Common Multiples of 893
Frequently Asked Questions on LCM of 889 and 893
1. What is the LCM of 889 and 893?
Answer: LCM of 889 and 893 is 793877.
2. What are the Factors of 889?
Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.
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 889 and 893?
Answer:
Least Common Multiple of 889 and 893 = 793877
Step 1: Find the prime factorization of 889
889 = 7 x 127
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 = 793877 = 7 x 19 x 47 x 127
Step 4: Therefore, the least common multiple of 889 and 893 is 793877.