Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6841 and 6847 the smallest integer that is 46840327 that is divisible by both numbers.
Least Common Multiple (LCM) of 6841 and 6847 is 46840327.
LCM(6841,6847) = 46840327
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6841 and 6847. First we will calculate the prime factors of 6841 and 6847.
Prime Factorization of 6841
6841 | 6841 |
1 |
Prime factors of 6841 are 6841. Prime factorization of 6841 in exponential form is:
6841 = 68411
Prime Factorization of 6847
41 | 6847 |
167 | 167 |
1 |
Prime factors of 6847 are 41,167. Prime factorization of 6847 in exponential form is:
6847 = 411×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 6841 and 6847.
LCM(6841,6847) = 411×1671×68411
LCM(6841,6847) = 46840327
Factors of 6841
List of positive integer factors of 6841 that divides 6841 without a remainder.
1, 6841
Factors of 6847
List of positive integer factors of 6847 that divides 6847 without a remainder.
1, 41, 167, 6847
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6841 and 6847, than apply into the LCM equation.
GCF(6841,6847) = 1
LCM(6841,6847) = ( 6841 × 6847) / 1
LCM(6841,6847) = 46840327 / 1
LCM(6841,6847) = 46840327
(i) The LCM of 6847 and 6841 is associative
LCM of 6841 and 6847 = LCM of 6847 and 6841
1. What is the LCM of 6841 and 6847?
Answer: LCM of 6841 and 6847 is 46840327.
2. What are the Factors of 6841?
Answer: Factors of 6841 are 1, 6841. There are 2 integers that are factors of 6841. The greatest factor of 6841 is 6841.
3. What are the Factors of 6847?
Answer: Factors of 6847 are 1, 41, 167, 6847. There are 4 integers that are factors of 6847. The greatest factor of 6847 is 6847.
4. How to Find the LCM of 6841 and 6847?
Answer:
Least Common Multiple of 6841 and 6847 = 46840327
Step 1: Find the prime factorization of 6841
6841 = 6841
Step 2: Find the prime factorization of 6847
6847 = 41 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46840327 = 41 x 167 x 6841
Step 4: Therefore, the least common multiple of 6841 and 6847 is 46840327.