Least Common Multiple of 1604 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 1604 and 1606 the smallest integer that is 1288012 that is divisible by both numbers.

Least Common Multiple (LCM) of 1604 and 1606 is 1288012.

LCM(1604,1606) = 1288012

LCM of 1604 and 1606

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

LCM of:
and

Least Common Multiple of 1604 and 1606

LCM of 1604 and 1606 is 1288012

Least common multiple can be found by multiplying the highest exponent prime factors of 1604 and 1606. First we will calculate the prime factors of 1604 and 1606.

Prime Factorization of 1604


2 1604
2 802
401 401
1

Prime factors of 1604 are 2,401. Prime factorization of 1604 in exponential form is:

1604 = 22×4011

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 1604 and 1606.

LCM(1604,1606) = 22×111×731×4011
LCM(1604,1606) = 1288012

Factors of 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1, 2, 4, 401, 802, 1604

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 1604 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 1604 and 1606, than apply into the LCM equation.

GCF(1604,1606) = 2
LCM(1604,1606) = ( 1604 × 1606) / 2
LCM(1604,1606) = 2576024 / 2
LCM(1604,1606) = 1288012

Properties of LCM 1604 and 1606

(i) The LCM of 1606 and 1604 is associative

LCM of 1604 and 1606 = LCM of 1606 and 1604

Related Least Common Multiples of 1604

Related Least Common Multiples of 1606

Frequently Asked Questions on LCM of 1604 and 1606

1. What is the LCM of 1604 and 1606?

Answer: LCM of 1604 and 1606 is 1288012.

2. What are the Factors of 1604?

Answer: Factors of 1604 are 1, 2, 4, 401, 802, 1604. There are 6 integers that are factors of 1604. The greatest factor of 1604 is 1604.

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 1604 and 1606?

Answer:

Least Common Multiple of 1604 and 1606 = 1288012

Step 1: Find the prime factorization of 1604

1604 = 2 x 2 x 401

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 = 1288012 = 2 x 2 x 11 x 73 x 401

Step 4: Therefore, the least common multiple of 1604 and 1606 is 1288012.