Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4886 and 4891 the smallest integer that is 23897426 that is divisible by both numbers.
Least Common Multiple (LCM) of 4886 and 4891 is 23897426.
LCM(4886,4891) = 23897426
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 4886 and 4891. First we will calculate the prime factors of 4886 and 4891.
Prime Factorization of 4886
2 | 4886 |
7 | 2443 |
349 | 349 |
1 |
Prime factors of 4886 are 2, 7,349. Prime factorization of 4886 in exponential form is:
4886 = 21×71×3491
Prime Factorization of 4891
67 | 4891 |
73 | 73 |
1 |
Prime factors of 4891 are 67,73. Prime factorization of 4891 in exponential form is:
4891 = 671×731
Now multiplying the highest exponent prime factors to calculate the LCM of 4886 and 4891.
LCM(4886,4891) = 21×71×671×731×3491
LCM(4886,4891) = 23897426
Factors of 4886
List of positive integer factors of 4886 that divides 4886 without a remainder.
1, 2, 7, 14, 349, 698, 2443, 4886
Factors of 4891
List of positive integer factors of 4891 that divides 4891 without a remainder.
1, 67, 73, 4891
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4886 and 4891, than apply into the LCM equation.
GCF(4886,4891) = 1
LCM(4886,4891) = ( 4886 × 4891) / 1
LCM(4886,4891) = 23897426 / 1
LCM(4886,4891) = 23897426
(i) The LCM of 4891 and 4886 is associative
LCM of 4886 and 4891 = LCM of 4891 and 4886
1. What is the LCM of 4886 and 4891?
Answer: LCM of 4886 and 4891 is 23897426.
2. What are the Factors of 4886?
Answer: Factors of 4886 are 1, 2, 7, 14, 349, 698, 2443, 4886. There are 8 integers that are factors of 4886. The greatest factor of 4886 is 4886.
3. What are the Factors of 4891?
Answer: Factors of 4891 are 1, 67, 73, 4891. There are 4 integers that are factors of 4891. The greatest factor of 4891 is 4891.
4. How to Find the LCM of 4886 and 4891?
Answer:
Least Common Multiple of 4886 and 4891 = 23897426
Step 1: Find the prime factorization of 4886
4886 = 2 x 7 x 349
Step 2: Find the prime factorization of 4891
4891 = 67 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23897426 = 2 x 7 x 67 x 73 x 349
Step 4: Therefore, the least common multiple of 4886 and 4891 is 23897426.