Least Common Multiple of 1605 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 1605 and 1609 the smallest integer that is 2582445 that is divisible by both numbers.

Least Common Multiple (LCM) of 1605 and 1609 is 2582445.

LCM(1605,1609) = 2582445

LCM of 1605 and 1609

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

LCM of:
and

Least Common Multiple of 1605 and 1609

LCM of 1605 and 1609 is 2582445

Least common multiple can be found by multiplying the highest exponent prime factors of 1605 and 1609. First we will calculate the prime factors of 1605 and 1609.

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 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 1605 and 1609.

LCM(1605,1609) = 31×51×1071×16091
LCM(1605,1609) = 2582445

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 1609

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

1, 1609

Least Common Multiple of 1605 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 1605 and 1609, than apply into the LCM equation.

GCF(1605,1609) = 1
LCM(1605,1609) = ( 1605 × 1609) / 1
LCM(1605,1609) = 2582445 / 1
LCM(1605,1609) = 2582445

Properties of LCM 1605 and 1609

(i) The LCM of 1609 and 1605 is associative

LCM of 1605 and 1609 = LCM of 1609 and 1605

Related Least Common Multiples of 1605

Related Least Common Multiples of 1609

Frequently Asked Questions on LCM of 1605 and 1609

1. What is the LCM of 1605 and 1609?

Answer: LCM of 1605 and 1609 is 2582445.

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 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 1605 and 1609?

Answer:

Least Common Multiple of 1605 and 1609 = 2582445

Step 1: Find the prime factorization of 1605

1605 = 3 x 5 x 107

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 = 2582445 = 3 x 5 x 107 x 1609

Step 4: Therefore, the least common multiple of 1605 and 1609 is 2582445.