Least Common Multiple of 1605 and 1610

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 1610 the smallest integer that is 516810 that is divisible by both numbers.

Least Common Multiple (LCM) of 1605 and 1610 is 516810.

LCM(1605,1610) = 516810

LCM of 1605 and 1610

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

LCM of:
and

Least Common Multiple of 1605 and 1610

LCM of 1605 and 1610 is 516810

Least common multiple can be found by multiplying the highest exponent prime factors of 1605 and 1610. First we will calculate the prime factors of 1605 and 1610.

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 1610


2 1610
5 805
7 161
23 23
1

Prime factors of 1610 are 2, 5, 7,23. Prime factorization of 1610 in exponential form is:

1610 = 21×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1605 and 1610.

LCM(1605,1610) = 21×31×51×71×231×1071
LCM(1605,1610) = 516810

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 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610

Least Common Multiple of 1605 and 1610 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 1610, than apply into the LCM equation.

GCF(1605,1610) = 5
LCM(1605,1610) = ( 1605 × 1610) / 5
LCM(1605,1610) = 2584050 / 5
LCM(1605,1610) = 516810

Properties of LCM 1605 and 1610

(i) The LCM of 1610 and 1605 is associative

LCM of 1605 and 1610 = LCM of 1610 and 1605

Related Least Common Multiples of 1605

Related Least Common Multiples of 1610

Frequently Asked Questions on LCM of 1605 and 1610

1. What is the LCM of 1605 and 1610?

Answer: LCM of 1605 and 1610 is 516810.

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 1610?

Answer: Factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610. There are 16 integers that are factors of 1610. The greatest factor of 1610 is 1610.

4. How to Find the LCM of 1605 and 1610?

Answer:

Least Common Multiple of 1605 and 1610 = 516810

Step 1: Find the prime factorization of 1605

1605 = 3 x 5 x 107

Step 2: Find the prime factorization of 1610

1610 = 2 x 5 x 7 x 23

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

LCM = 516810 = 2 x 3 x 5 x 7 x 23 x 107

Step 4: Therefore, the least common multiple of 1605 and 1610 is 516810.