Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2041 and 2047 the smallest integer that is 4177927 that is divisible by both numbers.
Least Common Multiple (LCM) of 2041 and 2047 is 4177927.
LCM(2041,2047) = 4177927
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 2041 and 2047. First we will calculate the prime factors of 2041 and 2047.
Prime Factorization of 2041
13 | 2041 |
157 | 157 |
1 |
Prime factors of 2041 are 13,157. Prime factorization of 2041 in exponential form is:
2041 = 131×1571
Prime Factorization of 2047
23 | 2047 |
89 | 89 |
1 |
Prime factors of 2047 are 23,89. Prime factorization of 2047 in exponential form is:
2047 = 231×891
Now multiplying the highest exponent prime factors to calculate the LCM of 2041 and 2047.
LCM(2041,2047) = 131×231×891×1571
LCM(2041,2047) = 4177927
Factors of 2041
List of positive integer factors of 2041 that divides 2041 without a remainder.
1, 13, 157, 2041
Factors of 2047
List of positive integer factors of 2047 that divides 2047 without a remainder.
1, 23, 89, 2047
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2041 and 2047, than apply into the LCM equation.
GCF(2041,2047) = 1
LCM(2041,2047) = ( 2041 × 2047) / 1
LCM(2041,2047) = 4177927 / 1
LCM(2041,2047) = 4177927
(i) The LCM of 2047 and 2041 is associative
LCM of 2041 and 2047 = LCM of 2047 and 2041
1. What is the LCM of 2041 and 2047?
Answer: LCM of 2041 and 2047 is 4177927.
2. What are the Factors of 2041?
Answer: Factors of 2041 are 1, 13, 157, 2041. There are 4 integers that are factors of 2041. The greatest factor of 2041 is 2041.
3. What are the Factors of 2047?
Answer: Factors of 2047 are 1, 23, 89, 2047. There are 4 integers that are factors of 2047. The greatest factor of 2047 is 2047.
4. How to Find the LCM of 2041 and 2047?
Answer:
Least Common Multiple of 2041 and 2047 = 4177927
Step 1: Find the prime factorization of 2041
2041 = 13 x 157
Step 2: Find the prime factorization of 2047
2047 = 23 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4177927 = 13 x 23 x 89 x 157
Step 4: Therefore, the least common multiple of 2041 and 2047 is 4177927.