Least Common Multiple of 1600 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 1600 and 1606 the smallest integer that is 1284800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1600 and 1606 is 1284800.

LCM(1600,1606) = 1284800

LCM of 1600 and 1606

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

LCM of:
and

Least Common Multiple of 1600 and 1606

LCM of 1600 and 1606 is 1284800

Least common multiple can be found by multiplying the highest exponent prime factors of 1600 and 1606. First we will calculate the prime factors of 1600 and 1606.

Prime Factorization of 1600


2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 1600 are 2,5. Prime factorization of 1600 in exponential form is:

1600 = 26×52

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 1600 and 1606.

LCM(1600,1606) = 26×52×111×731
LCM(1600,1606) = 1284800

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600

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 1600 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 1600 and 1606, than apply into the LCM equation.

GCF(1600,1606) = 2
LCM(1600,1606) = ( 1600 × 1606) / 2
LCM(1600,1606) = 2569600 / 2
LCM(1600,1606) = 1284800

Properties of LCM 1600 and 1606

(i) The LCM of 1606 and 1600 is associative

LCM of 1600 and 1606 = LCM of 1606 and 1600

Related Least Common Multiples of 1600

Related Least Common Multiples of 1606

Frequently Asked Questions on LCM of 1600 and 1606

1. What is the LCM of 1600 and 1606?

Answer: LCM of 1600 and 1606 is 1284800.

2. What are the Factors of 1600?

Answer: Factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600. There are 21 integers that are factors of 1600. The greatest factor of 1600 is 1600.

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 1600 and 1606?

Answer:

Least Common Multiple of 1600 and 1606 = 1284800

Step 1: Find the prime factorization of 1600

1600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

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 = 1284800 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 73

Step 4: Therefore, the least common multiple of 1600 and 1606 is 1284800.