Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4105 and 4107 the smallest integer that is 16859235 that is divisible by both numbers.
Least Common Multiple (LCM) of 4105 and 4107 is 16859235.
LCM(4105,4107) = 16859235
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 4105 and 4107. First we will calculate the prime factors of 4105 and 4107.
Prime Factorization of 4105
5 | 4105 |
821 | 821 |
1 |
Prime factors of 4105 are 5,821. Prime factorization of 4105 in exponential form is:
4105 = 51×8211
Prime Factorization of 4107
3 | 4107 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 4107 are 3,37. Prime factorization of 4107 in exponential form is:
4107 = 31×372
Now multiplying the highest exponent prime factors to calculate the LCM of 4105 and 4107.
LCM(4105,4107) = 31×51×372×8211
LCM(4105,4107) = 16859235
Factors of 4105
List of positive integer factors of 4105 that divides 4105 without a remainder.
1, 5, 821, 4105
Factors of 4107
List of positive integer factors of 4107 that divides 4107 without a remainder.
1, 3, 37, 111, 1369, 4107
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4105 and 4107, than apply into the LCM equation.
GCF(4105,4107) = 1
LCM(4105,4107) = ( 4105 × 4107) / 1
LCM(4105,4107) = 16859235 / 1
LCM(4105,4107) = 16859235
(i) The LCM of 4107 and 4105 is associative
LCM of 4105 and 4107 = LCM of 4107 and 4105
1. What is the LCM of 4105 and 4107?
Answer: LCM of 4105 and 4107 is 16859235.
2. What are the Factors of 4105?
Answer: Factors of 4105 are 1, 5, 821, 4105. There are 4 integers that are factors of 4105. The greatest factor of 4105 is 4105.
3. What are the Factors of 4107?
Answer: Factors of 4107 are 1, 3, 37, 111, 1369, 4107. There are 6 integers that are factors of 4107. The greatest factor of 4107 is 4107.
4. How to Find the LCM of 4105 and 4107?
Answer:
Least Common Multiple of 4105 and 4107 = 16859235
Step 1: Find the prime factorization of 4105
4105 = 5 x 821
Step 2: Find the prime factorization of 4107
4107 = 3 x 37 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16859235 = 3 x 5 x 37 x 37 x 821
Step 4: Therefore, the least common multiple of 4105 and 4107 is 16859235.