Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4106 and 4107 the smallest integer that is 16863342 that is divisible by both numbers.
Least Common Multiple (LCM) of 4106 and 4107 is 16863342.
LCM(4106,4107) = 16863342
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 4106 and 4107. First we will calculate the prime factors of 4106 and 4107.
Prime Factorization of 4106
2 | 4106 |
2053 | 2053 |
1 |
Prime factors of 4106 are 2,2053. Prime factorization of 4106 in exponential form is:
4106 = 21×20531
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 4106 and 4107.
LCM(4106,4107) = 21×31×372×20531
LCM(4106,4107) = 16863342
Factors of 4106
List of positive integer factors of 4106 that divides 4106 without a remainder.
1, 2, 2053, 4106
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 4106 and 4107, than apply into the LCM equation.
GCF(4106,4107) = 1
LCM(4106,4107) = ( 4106 × 4107) / 1
LCM(4106,4107) = 16863342 / 1
LCM(4106,4107) = 16863342
(i) The LCM of 4107 and 4106 is associative
LCM of 4106 and 4107 = LCM of 4107 and 4106
1. What is the LCM of 4106 and 4107?
Answer: LCM of 4106 and 4107 is 16863342.
2. What are the Factors of 4106?
Answer: Factors of 4106 are 1, 2, 2053, 4106. There are 4 integers that are factors of 4106. The greatest factor of 4106 is 4106.
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 4106 and 4107?
Answer:
Least Common Multiple of 4106 and 4107 = 16863342
Step 1: Find the prime factorization of 4106
4106 = 2 x 2053
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 = 16863342 = 2 x 3 x 37 x 37 x 2053
Step 4: Therefore, the least common multiple of 4106 and 4107 is 16863342.