Least Common Multiple of 1605 and 1612

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 1612 the smallest integer that is 2587260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1605 and 1612 is 2587260.

LCM(1605,1612) = 2587260

LCM of 1605 and 1612

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

LCM of:
and

Least Common Multiple of 1605 and 1612

LCM of 1605 and 1612 is 2587260

Least common multiple can be found by multiplying the highest exponent prime factors of 1605 and 1612. First we will calculate the prime factors of 1605 and 1612.

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 1612


2 1612
2 806
13 403
31 31
1

Prime factors of 1612 are 2, 13,31. Prime factorization of 1612 in exponential form is:

1612 = 22×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1605 and 1612.

LCM(1605,1612) = 22×31×51×131×311×1071
LCM(1605,1612) = 2587260

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 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612

Least Common Multiple of 1605 and 1612 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 1612, than apply into the LCM equation.

GCF(1605,1612) = 1
LCM(1605,1612) = ( 1605 × 1612) / 1
LCM(1605,1612) = 2587260 / 1
LCM(1605,1612) = 2587260

Properties of LCM 1605 and 1612

(i) The LCM of 1612 and 1605 is associative

LCM of 1605 and 1612 = LCM of 1612 and 1605

Related Least Common Multiples of 1605

Related Least Common Multiples of 1612

Frequently Asked Questions on LCM of 1605 and 1612

1. What is the LCM of 1605 and 1612?

Answer: LCM of 1605 and 1612 is 2587260.

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 1612?

Answer: Factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612. There are 12 integers that are factors of 1612. The greatest factor of 1612 is 1612.

4. How to Find the LCM of 1605 and 1612?

Answer:

Least Common Multiple of 1605 and 1612 = 2587260

Step 1: Find the prime factorization of 1605

1605 = 3 x 5 x 107

Step 2: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

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

LCM = 2587260 = 2 x 2 x 3 x 5 x 13 x 31 x 107

Step 4: Therefore, the least common multiple of 1605 and 1612 is 2587260.