Least Common Multiple of 6887 and 6893
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6887 and 6893 the smallest integer that is 47472091 that is divisible by both numbers.
Least Common Multiple (LCM) of 6887 and 6893 is 47472091.
LCM(6887,6893) = 47472091
LCM of 6887 and 6893
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6887 and 6893 by Prime method
- Least Common Multiple of 6887 and 6893 with GCF Formula
LCM of 6887 and 6893 is 47472091
Least common multiple can be found by multiplying the highest exponent prime factors of 6887 and 6893. First we will calculate the prime factors of 6887 and 6893.
Prime Factorization of 6887
| 71 | 6887 |
| 97 | 97 |
| 1 |
Prime factors of 6887 are 71,97. Prime factorization of 6887 in exponential form is:
6887 = 711×971
Prime Factorization of 6893
| 61 | 6893 |
| 113 | 113 |
| 1 |
Prime factors of 6893 are 61,113. Prime factorization of 6893 in exponential form is:
6893 = 611×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 6887 and 6893.
LCM(6887,6893) = 611×711×971×1131
LCM(6887,6893) = 47472091
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Factors of 6893
List of positive integer factors of 6893 that divides 6893 without a remainder.
1, 61, 113, 6893
Least Common Multiple of 6887 and 6893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6887 and 6893, than apply into the LCM equation.
GCF(6887,6893) = 1
LCM(6887,6893) = ( 6887 × 6893) / 1
LCM(6887,6893) = 47472091 / 1
LCM(6887,6893) = 47472091
Properties of LCM 6887 and 6893
(i) The LCM of 6893 and 6887 is associative
LCM of 6887 and 6893 = LCM of 6893 and 6887
Related Least Common Multiples of 6887
Related Least Common Multiples of 6893
Frequently Asked Questions on LCM of 6887 and 6893
1. What is the LCM of 6887 and 6893?
Answer: LCM of 6887 and 6893 is 47472091.
2. What are the Factors of 6887?
Answer: Factors of 6887 are 1, 71, 97, 6887. There are 4 integers that are factors of 6887. The greatest factor of 6887 is 6887.
3. What are the Factors of 6893?
Answer: Factors of 6893 are 1, 61, 113, 6893. There are 4 integers that are factors of 6893. The greatest factor of 6893 is 6893.
4. How to Find the LCM of 6887 and 6893?
Answer:
Least Common Multiple of 6887 and 6893 = 47472091
Step 1: Find the prime factorization of 6887
6887 = 71 x 97
Step 2: Find the prime factorization of 6893
6893 = 61 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47472091 = 61 x 71 x 97 x 113
Step 4: Therefore, the least common multiple of 6887 and 6893 is 47472091.