Least Common Multiple of 6846 and 6851
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6846 and 6851 the smallest integer that is 46901946 that is divisible by both numbers.
Least Common Multiple (LCM) of 6846 and 6851 is 46901946.
LCM(6846,6851) = 46901946
LCM of 6846 and 6851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6846 and 6851 by Prime method
- Least Common Multiple of 6846 and 6851 with GCF Formula
LCM of 6846 and 6851 is 46901946
Least common multiple can be found by multiplying the highest exponent prime factors of 6846 and 6851. First we will calculate the prime factors of 6846 and 6851.
Prime Factorization of 6846
| 2 | 6846 |
| 3 | 3423 |
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 6846 are 2, 3, 7,163. Prime factorization of 6846 in exponential form is:
6846 = 21×31×71×1631
Prime Factorization of 6851
| 13 | 6851 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 6851 are 13, 17,31. Prime factorization of 6851 in exponential form is:
6851 = 131×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 6846 and 6851.
LCM(6846,6851) = 21×31×71×131×171×311×1631
LCM(6846,6851) = 46901946
Factors of 6846
List of positive integer factors of 6846 that divides 6846 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846
Factors of 6851
List of positive integer factors of 6851 that divides 6851 without a remainder.
1, 13, 17, 31, 221, 403, 527, 6851
Least Common Multiple of 6846 and 6851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6846 and 6851, than apply into the LCM equation.
GCF(6846,6851) = 1
LCM(6846,6851) = ( 6846 × 6851) / 1
LCM(6846,6851) = 46901946 / 1
LCM(6846,6851) = 46901946
Properties of LCM 6846 and 6851
(i) The LCM of 6851 and 6846 is associative
LCM of 6846 and 6851 = LCM of 6851 and 6846
Related Least Common Multiples of 6846
Related Least Common Multiples of 6851
Frequently Asked Questions on LCM of 6846 and 6851
1. What is the LCM of 6846 and 6851?
Answer: LCM of 6846 and 6851 is 46901946.
2. What are the Factors of 6846?
Answer: Factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846. There are 16 integers that are factors of 6846. The greatest factor of 6846 is 6846.
3. What are the Factors of 6851?
Answer: Factors of 6851 are 1, 13, 17, 31, 221, 403, 527, 6851. There are 8 integers that are factors of 6851. The greatest factor of 6851 is 6851.
4. How to Find the LCM of 6846 and 6851?
Answer:
Least Common Multiple of 6846 and 6851 = 46901946
Step 1: Find the prime factorization of 6846
6846 = 2 x 3 x 7 x 163
Step 2: Find the prime factorization of 6851
6851 = 13 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46901946 = 2 x 3 x 7 x 13 x 17 x 31 x 163
Step 4: Therefore, the least common multiple of 6846 and 6851 is 46901946.