Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4861 and 4866 the smallest integer that is 23653626 that is divisible by both numbers.
Least Common Multiple (LCM) of 4861 and 4866 is 23653626.
LCM(4861,4866) = 23653626
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 4861 and 4866. First we will calculate the prime factors of 4861 and 4866.
Prime Factorization of 4861
4861 | 4861 |
1 |
Prime factors of 4861 are 4861. Prime factorization of 4861 in exponential form is:
4861 = 48611
Prime Factorization of 4866
2 | 4866 |
3 | 2433 |
811 | 811 |
1 |
Prime factors of 4866 are 2, 3,811. Prime factorization of 4866 in exponential form is:
4866 = 21×31×8111
Now multiplying the highest exponent prime factors to calculate the LCM of 4861 and 4866.
LCM(4861,4866) = 21×31×8111×48611
LCM(4861,4866) = 23653626
Factors of 4861
List of positive integer factors of 4861 that divides 4861 without a remainder.
1, 4861
Factors of 4866
List of positive integer factors of 4866 that divides 4866 without a remainder.
1, 2, 3, 6, 811, 1622, 2433, 4866
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4861 and 4866, than apply into the LCM equation.
GCF(4861,4866) = 1
LCM(4861,4866) = ( 4861 × 4866) / 1
LCM(4861,4866) = 23653626 / 1
LCM(4861,4866) = 23653626
(i) The LCM of 4866 and 4861 is associative
LCM of 4861 and 4866 = LCM of 4866 and 4861
1. What is the LCM of 4861 and 4866?
Answer: LCM of 4861 and 4866 is 23653626.
2. What are the Factors of 4861?
Answer: Factors of 4861 are 1, 4861. There are 2 integers that are factors of 4861. The greatest factor of 4861 is 4861.
3. What are the Factors of 4866?
Answer: Factors of 4866 are 1, 2, 3, 6, 811, 1622, 2433, 4866. There are 8 integers that are factors of 4866. The greatest factor of 4866 is 4866.
4. How to Find the LCM of 4861 and 4866?
Answer:
Least Common Multiple of 4861 and 4866 = 23653626
Step 1: Find the prime factorization of 4861
4861 = 4861
Step 2: Find the prime factorization of 4866
4866 = 2 x 3 x 811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23653626 = 2 x 3 x 811 x 4861
Step 4: Therefore, the least common multiple of 4861 and 4866 is 23653626.