Least Common Multiple of 1603 and 1606

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 1606 the smallest integer that is 2574418 that is divisible by both numbers.

Least Common Multiple (LCM) of 1603 and 1606 is 2574418.

LCM(1603,1606) = 2574418

LCM of 1603 and 1606

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1603 and 1606

LCM of 1603 and 1606 is 2574418

Least common multiple can be found by multiplying the highest exponent prime factors of 1603 and 1606. First we will calculate the prime factors of 1603 and 1606.

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 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 1603 and 1606.

LCM(1603,1606) = 21×71×111×731×2291
LCM(1603,1606) = 2574418

Factors of 1603

List of positive integer factors of 1603 that divides 1603 without a remainder.

1, 7, 229, 1603

Factors of 1606

List of positive integer factors of 1606 that divides 1606 without a remainder.

1, 2, 11, 22, 73, 146, 803, 1606

Least Common Multiple of 1603 and 1606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1603 and 1606, than apply into the LCM equation.

GCF(1603,1606) = 1
LCM(1603,1606) = ( 1603 × 1606) / 1
LCM(1603,1606) = 2574418 / 1
LCM(1603,1606) = 2574418

Properties of LCM 1603 and 1606

(i) The LCM of 1606 and 1603 is associative

LCM of 1603 and 1606 = LCM of 1606 and 1603

Related Least Common Multiples of 1603

Related Least Common Multiples of 1606

Frequently Asked Questions on LCM of 1603 and 1606

1. What is the LCM of 1603 and 1606?

Answer: LCM of 1603 and 1606 is 2574418.

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 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 1603 and 1606?

Answer:

Least Common Multiple of 1603 and 1606 = 2574418

Step 1: Find the prime factorization of 1603

1603 = 7 x 229

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 = 2574418 = 2 x 7 x 11 x 73 x 229

Step 4: Therefore, the least common multiple of 1603 and 1606 is 2574418.