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 1604 the smallest integer that is 2571212 that is divisible by both numbers.
Least Common Multiple (LCM) of 1603 and 1604 is 2571212.
LCM(1603,1604) = 2571212
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 1604. First we will calculate the prime factors of 1603 and 1604.
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 1604
2 | 1604 |
2 | 802 |
401 | 401 |
1 |
Prime factors of 1604 are 2,401. Prime factorization of 1604 in exponential form is:
1604 = 22×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 1603 and 1604.
LCM(1603,1604) = 22×71×2291×4011
LCM(1603,1604) = 2571212
Factors of 1603
List of positive integer factors of 1603 that divides 1603 without a remainder.
1, 7, 229, 1603
Factors of 1604
List of positive integer factors of 1604 that divides 1604 without a remainder.
1, 2, 4, 401, 802, 1604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1603 and 1604, than apply into the LCM equation.
GCF(1603,1604) = 1
LCM(1603,1604) = ( 1603 × 1604) / 1
LCM(1603,1604) = 2571212 / 1
LCM(1603,1604) = 2571212
(i) The LCM of 1604 and 1603 is associative
LCM of 1603 and 1604 = LCM of 1604 and 1603
1. What is the LCM of 1603 and 1604?
Answer: LCM of 1603 and 1604 is 2571212.
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 1604?
Answer: Factors of 1604 are 1, 2, 4, 401, 802, 1604. There are 6 integers that are factors of 1604. The greatest factor of 1604 is 1604.
4. How to Find the LCM of 1603 and 1604?
Answer:
Least Common Multiple of 1603 and 1604 = 2571212
Step 1: Find the prime factorization of 1603
1603 = 7 x 229
Step 2: Find the prime factorization of 1604
1604 = 2 x 2 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2571212 = 2 x 2 x 7 x 229 x 401
Step 4: Therefore, the least common multiple of 1603 and 1604 is 2571212.