Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3881 and 3886 the smallest integer that is 15081566 that is divisible by both numbers.
Least Common Multiple (LCM) of 3881 and 3886 is 15081566.
LCM(3881,3886) = 15081566
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 3881 and 3886. First we will calculate the prime factors of 3881 and 3886.
Prime Factorization of 3881
3881 | 3881 |
1 |
Prime factors of 3881 are 3881. Prime factorization of 3881 in exponential form is:
3881 = 38811
Prime Factorization of 3886
2 | 3886 |
29 | 1943 |
67 | 67 |
1 |
Prime factors of 3886 are 2, 29,67. Prime factorization of 3886 in exponential form is:
3886 = 21×291×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3881 and 3886.
LCM(3881,3886) = 21×291×671×38811
LCM(3881,3886) = 15081566
Factors of 3881
List of positive integer factors of 3881 that divides 3881 without a remainder.
1, 3881
Factors of 3886
List of positive integer factors of 3886 that divides 3886 without a remainder.
1, 2, 29, 58, 67, 134, 1943, 3886
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3881 and 3886, than apply into the LCM equation.
GCF(3881,3886) = 1
LCM(3881,3886) = ( 3881 × 3886) / 1
LCM(3881,3886) = 15081566 / 1
LCM(3881,3886) = 15081566
(i) The LCM of 3886 and 3881 is associative
LCM of 3881 and 3886 = LCM of 3886 and 3881
1. What is the LCM of 3881 and 3886?
Answer: LCM of 3881 and 3886 is 15081566.
2. What are the Factors of 3881?
Answer: Factors of 3881 are 1, 3881. There are 2 integers that are factors of 3881. The greatest factor of 3881 is 3881.
3. What are the Factors of 3886?
Answer: Factors of 3886 are 1, 2, 29, 58, 67, 134, 1943, 3886. There are 8 integers that are factors of 3886. The greatest factor of 3886 is 3886.
4. How to Find the LCM of 3881 and 3886?
Answer:
Least Common Multiple of 3881 and 3886 = 15081566
Step 1: Find the prime factorization of 3881
3881 = 3881
Step 2: Find the prime factorization of 3886
3886 = 2 x 29 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15081566 = 2 x 29 x 67 x 3881
Step 4: Therefore, the least common multiple of 3881 and 3886 is 15081566.