Least Common Multiple of 6887 and 6894
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 6894 the smallest integer that is 47478978 that is divisible by both numbers.
Least Common Multiple (LCM) of 6887 and 6894 is 47478978.
LCM(6887,6894) = 47478978
LCM of 6887 and 6894
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6887 and 6894 by Prime method
- Least Common Multiple of 6887 and 6894 with GCF Formula
LCM of 6887 and 6894 is 47478978
Least common multiple can be found by multiplying the highest exponent prime factors of 6887 and 6894. First we will calculate the prime factors of 6887 and 6894.
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 6894
| 2 | 6894 |
| 3 | 3447 |
| 3 | 1149 |
| 383 | 383 |
| 1 |
Prime factors of 6894 are 2, 3,383. Prime factorization of 6894 in exponential form is:
6894 = 21×32×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 6887 and 6894.
LCM(6887,6894) = 21×32×711×971×3831
LCM(6887,6894) = 47478978
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Factors of 6894
List of positive integer factors of 6894 that divides 6894 without a remainder.
1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894
Least Common Multiple of 6887 and 6894 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 6894, than apply into the LCM equation.
GCF(6887,6894) = 1
LCM(6887,6894) = ( 6887 × 6894) / 1
LCM(6887,6894) = 47478978 / 1
LCM(6887,6894) = 47478978
Properties of LCM 6887 and 6894
(i) The LCM of 6894 and 6887 is associative
LCM of 6887 and 6894 = LCM of 6894 and 6887
Related Least Common Multiples of 6887
Related Least Common Multiples of 6894
Frequently Asked Questions on LCM of 6887 and 6894
1. What is the LCM of 6887 and 6894?
Answer: LCM of 6887 and 6894 is 47478978.
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 6894?
Answer: Factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894. There are 12 integers that are factors of 6894. The greatest factor of 6894 is 6894.
4. How to Find the LCM of 6887 and 6894?
Answer:
Least Common Multiple of 6887 and 6894 = 47478978
Step 1: Find the prime factorization of 6887
6887 = 71 x 97
Step 2: Find the prime factorization of 6894
6894 = 2 x 3 x 3 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47478978 = 2 x 3 x 3 x 71 x 97 x 383
Step 4: Therefore, the least common multiple of 6887 and 6894 is 47478978.