Least Common Multiple of 2103 and 2107
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2103 and 2107 the smallest integer that is 4431021 that is divisible by both numbers.
Least Common Multiple (LCM) of 2103 and 2107 is 4431021.
LCM(2103,2107) = 4431021
LCM of 2103 and 2107
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2103 and 2107 by Prime method
- Least Common Multiple of 2103 and 2107 with GCF Formula
LCM of 2103 and 2107 is 4431021
Least common multiple can be found by multiplying the highest exponent prime factors of 2103 and 2107. First we will calculate the prime factors of 2103 and 2107.
Prime Factorization of 2103
| 3 | 2103 |
| 701 | 701 |
| 1 |
Prime factors of 2103 are 3,701. Prime factorization of 2103 in exponential form is:
2103 = 31×7011
Prime Factorization of 2107
| 7 | 2107 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 2107 are 7,43. Prime factorization of 2107 in exponential form is:
2107 = 72×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2103 and 2107.
LCM(2103,2107) = 31×72×431×7011
LCM(2103,2107) = 4431021
Factors of 2103
List of positive integer factors of 2103 that divides 2103 without a remainder.
1, 3, 701, 2103
Factors of 2107
List of positive integer factors of 2107 that divides 2107 without a remainder.
1, 7, 43, 49, 301, 2107
Least Common Multiple of 2103 and 2107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2103 and 2107, than apply into the LCM equation.
GCF(2103,2107) = 1
LCM(2103,2107) = ( 2103 × 2107) / 1
LCM(2103,2107) = 4431021 / 1
LCM(2103,2107) = 4431021
Properties of LCM 2103 and 2107
(i) The LCM of 2107 and 2103 is associative
LCM of 2103 and 2107 = LCM of 2107 and 2103
Related Least Common Multiples of 2103
Related Least Common Multiples of 2107
Frequently Asked Questions on LCM of 2103 and 2107
1. What is the LCM of 2103 and 2107?
Answer: LCM of 2103 and 2107 is 4431021.
2. What are the Factors of 2103?
Answer: Factors of 2103 are 1, 3, 701, 2103. There are 4 integers that are factors of 2103. The greatest factor of 2103 is 2103.
3. What are the Factors of 2107?
Answer: Factors of 2107 are 1, 7, 43, 49, 301, 2107. There are 6 integers that are factors of 2107. The greatest factor of 2107 is 2107.
4. How to Find the LCM of 2103 and 2107?
Answer:
Least Common Multiple of 2103 and 2107 = 4431021
Step 1: Find the prime factorization of 2103
2103 = 3 x 701
Step 2: Find the prime factorization of 2107
2107 = 7 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4431021 = 3 x 7 x 7 x 43 x 701
Step 4: Therefore, the least common multiple of 2103 and 2107 is 4431021.