Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4103 and 4107 the smallest integer that is 16851021 that is divisible by both numbers.
Least Common Multiple (LCM) of 4103 and 4107 is 16851021.
LCM(4103,4107) = 16851021
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 4103 and 4107. First we will calculate the prime factors of 4103 and 4107.
Prime Factorization of 4103
11 | 4103 |
373 | 373 |
1 |
Prime factors of 4103 are 11,373. Prime factorization of 4103 in exponential form is:
4103 = 111×3731
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 4103 and 4107.
LCM(4103,4107) = 31×111×372×3731
LCM(4103,4107) = 16851021
Factors of 4103
List of positive integer factors of 4103 that divides 4103 without a remainder.
1, 11, 373, 4103
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 4103 and 4107, than apply into the LCM equation.
GCF(4103,4107) = 1
LCM(4103,4107) = ( 4103 × 4107) / 1
LCM(4103,4107) = 16851021 / 1
LCM(4103,4107) = 16851021
(i) The LCM of 4107 and 4103 is associative
LCM of 4103 and 4107 = LCM of 4107 and 4103
1. What is the LCM of 4103 and 4107?
Answer: LCM of 4103 and 4107 is 16851021.
2. What are the Factors of 4103?
Answer: Factors of 4103 are 1, 11, 373, 4103. There are 4 integers that are factors of 4103. The greatest factor of 4103 is 4103.
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 4103 and 4107?
Answer:
Least Common Multiple of 4103 and 4107 = 16851021
Step 1: Find the prime factorization of 4103
4103 = 11 x 373
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 = 16851021 = 3 x 11 x 37 x 37 x 373
Step 4: Therefore, the least common multiple of 4103 and 4107 is 16851021.