Least Common Multiple of 1603 and 1609

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 1609 the smallest integer that is 2579227 that is divisible by both numbers.

Least Common Multiple (LCM) of 1603 and 1609 is 2579227.

LCM(1603,1609) = 2579227

LCM of 1603 and 1609

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

LCM of:
and

Least Common Multiple of 1603 and 1609

LCM of 1603 and 1609 is 2579227

Least common multiple can be found by multiplying the highest exponent prime factors of 1603 and 1609. First we will calculate the prime factors of 1603 and 1609.

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 1609


1609 1609
1

Prime factors of 1609 are 1609. Prime factorization of 1609 in exponential form is:

1609 = 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 1603 and 1609.

LCM(1603,1609) = 71×2291×16091
LCM(1603,1609) = 2579227

Factors of 1603

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

1, 7, 229, 1603

Factors of 1609

List of positive integer factors of 1609 that divides 1609 without a remainder.

1, 1609

Least Common Multiple of 1603 and 1609 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 1609, than apply into the LCM equation.

GCF(1603,1609) = 1
LCM(1603,1609) = ( 1603 × 1609) / 1
LCM(1603,1609) = 2579227 / 1
LCM(1603,1609) = 2579227

Properties of LCM 1603 and 1609

(i) The LCM of 1609 and 1603 is associative

LCM of 1603 and 1609 = LCM of 1609 and 1603

Related Least Common Multiples of 1603

Related Least Common Multiples of 1609

Frequently Asked Questions on LCM of 1603 and 1609

1. What is the LCM of 1603 and 1609?

Answer: LCM of 1603 and 1609 is 2579227.

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 1609?

Answer: Factors of 1609 are 1, 1609. There are 2 integers that are factors of 1609. The greatest factor of 1609 is 1609.

4. How to Find the LCM of 1603 and 1609?

Answer:

Least Common Multiple of 1603 and 1609 = 2579227

Step 1: Find the prime factorization of 1603

1603 = 7 x 229

Step 2: Find the prime factorization of 1609

1609 = 1609

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2579227 = 7 x 229 x 1609

Step 4: Therefore, the least common multiple of 1603 and 1609 is 2579227.