Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1603 and 1605 the smallest integer that is 2572815 that is divisible by both numbers.
Least Common Multiple (LCM) of 1603 and 1605 is 2572815.
LCM(1603,1605) = 2572815
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 1603 and 1605. First we will calculate the prime factors of 1603 and 1605.
Prime Factorization of 1603
7 | 1603 |
229 | 229 |
1 |
Prime factors of 1603 are 7,229. Prime factorization of 1603 in exponential form is:
1603 = 71×2291
Prime Factorization of 1605
3 | 1605 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 1605 are 3, 5,107. Prime factorization of 1605 in exponential form is:
1605 = 31×51×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 1603 and 1605.
LCM(1603,1605) = 31×51×71×1071×2291
LCM(1603,1605) = 2572815
Factors of 1603
List of positive integer factors of 1603 that divides 1603 without a remainder.
1, 7, 229, 1603
Factors of 1605
List of positive integer factors of 1605 that divides 1605 without a remainder.
1, 3, 5, 15, 107, 321, 535, 1605
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1603 and 1605, than apply into the LCM equation.
GCF(1603,1605) = 1
LCM(1603,1605) = ( 1603 × 1605) / 1
LCM(1603,1605) = 2572815 / 1
LCM(1603,1605) = 2572815
(i) The LCM of 1605 and 1603 is associative
LCM of 1603 and 1605 = LCM of 1605 and 1603
1. What is the LCM of 1603 and 1605?
Answer: LCM of 1603 and 1605 is 2572815.
2. What are the Factors of 1603?
Answer: Factors of 1603 are 1, 7, 229, 1603. There are 4 integers that are factors of 1603. The greatest factor of 1603 is 1603.
3. What are the Factors of 1605?
Answer: Factors of 1605 are 1, 3, 5, 15, 107, 321, 535, 1605. There are 8 integers that are factors of 1605. The greatest factor of 1605 is 1605.
4. How to Find the LCM of 1603 and 1605?
Answer:
Least Common Multiple of 1603 and 1605 = 2572815
Step 1: Find the prime factorization of 1603
1603 = 7 x 229
Step 2: Find the prime factorization of 1605
1605 = 3 x 5 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2572815 = 3 x 5 x 7 x 107 x 229
Step 4: Therefore, the least common multiple of 1603 and 1605 is 2572815.