Least Common Multiple of 6887 and 6890
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 6890 the smallest integer that is 47451430 that is divisible by both numbers.
Least Common Multiple (LCM) of 6887 and 6890 is 47451430.
LCM(6887,6890) = 47451430
LCM of 6887 and 6890
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6887 and 6890 by Prime method
- Least Common Multiple of 6887 and 6890 with GCF Formula
LCM of 6887 and 6890 is 47451430
Least common multiple can be found by multiplying the highest exponent prime factors of 6887 and 6890. First we will calculate the prime factors of 6887 and 6890.
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 6890
| 2 | 6890 |
| 5 | 3445 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 6890 are 2, 5, 13,53. Prime factorization of 6890 in exponential form is:
6890 = 21×51×131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 6887 and 6890.
LCM(6887,6890) = 21×51×131×531×711×971
LCM(6887,6890) = 47451430
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Factors of 6890
List of positive integer factors of 6890 that divides 6890 without a remainder.
1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890
Least Common Multiple of 6887 and 6890 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 6890, than apply into the LCM equation.
GCF(6887,6890) = 1
LCM(6887,6890) = ( 6887 × 6890) / 1
LCM(6887,6890) = 47451430 / 1
LCM(6887,6890) = 47451430
Properties of LCM 6887 and 6890
(i) The LCM of 6890 and 6887 is associative
LCM of 6887 and 6890 = LCM of 6890 and 6887
Related Least Common Multiples of 6887
Related Least Common Multiples of 6890
Frequently Asked Questions on LCM of 6887 and 6890
1. What is the LCM of 6887 and 6890?
Answer: LCM of 6887 and 6890 is 47451430.
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 6890?
Answer: Factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890. There are 16 integers that are factors of 6890. The greatest factor of 6890 is 6890.
4. How to Find the LCM of 6887 and 6890?
Answer:
Least Common Multiple of 6887 and 6890 = 47451430
Step 1: Find the prime factorization of 6887
6887 = 71 x 97
Step 2: Find the prime factorization of 6890
6890 = 2 x 5 x 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47451430 = 2 x 5 x 13 x 53 x 71 x 97
Step 4: Therefore, the least common multiple of 6887 and 6890 is 47451430.
