Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1605 and 1606 the smallest integer that is 2577630 that is divisible by both numbers.
Least Common Multiple (LCM) of 1605 and 1606 is 2577630.
LCM(1605,1606) = 2577630
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 1605 and 1606. First we will calculate the prime factors of 1605 and 1606.
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
Prime Factorization of 1606
2 | 1606 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 1606 are 2, 11,73. Prime factorization of 1606 in exponential form is:
1606 = 21×111×731
Now multiplying the highest exponent prime factors to calculate the LCM of 1605 and 1606.
LCM(1605,1606) = 21×31×51×111×731×1071
LCM(1605,1606) = 2577630
Factors of 1605
List of positive integer factors of 1605 that divides 1605 without a remainder.
1, 3, 5, 15, 107, 321, 535, 1605
Factors of 1606
List of positive integer factors of 1606 that divides 1606 without a remainder.
1, 2, 11, 22, 73, 146, 803, 1606
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1605 and 1606, than apply into the LCM equation.
GCF(1605,1606) = 1
LCM(1605,1606) = ( 1605 × 1606) / 1
LCM(1605,1606) = 2577630 / 1
LCM(1605,1606) = 2577630
(i) The LCM of 1606 and 1605 is associative
LCM of 1605 and 1606 = LCM of 1606 and 1605
1. What is the LCM of 1605 and 1606?
Answer: LCM of 1605 and 1606 is 2577630.
2. 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.
3. What are the Factors of 1606?
Answer: Factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606. There are 8 integers that are factors of 1606. The greatest factor of 1606 is 1606.
4. How to Find the LCM of 1605 and 1606?
Answer:
Least Common Multiple of 1605 and 1606 = 2577630
Step 1: Find the prime factorization of 1605
1605 = 3 x 5 x 107
Step 2: Find the prime factorization of 1606
1606 = 2 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2577630 = 2 x 3 x 5 x 11 x 73 x 107
Step 4: Therefore, the least common multiple of 1605 and 1606 is 2577630.