Least Common Multiple of 1600 and 1604

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 1604 the smallest integer that is 641600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1600 and 1604 is 641600.

LCM(1600,1604) = 641600

LCM of 1600 and 1604

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

LCM of:
and

Least Common Multiple of 1600 and 1604

LCM of 1600 and 1604 is 641600

Least common multiple can be found by multiplying the highest exponent prime factors of 1600 and 1604. First we will calculate the prime factors of 1600 and 1604.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1600 and 1604.

LCM(1600,1604) = 26×52×4011
LCM(1600,1604) = 641600

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 1604

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

1, 2, 4, 401, 802, 1604

Least Common Multiple of 1600 and 1604 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 1604, than apply into the LCM equation.

GCF(1600,1604) = 4
LCM(1600,1604) = ( 1600 × 1604) / 4
LCM(1600,1604) = 2566400 / 4
LCM(1600,1604) = 641600

Properties of LCM 1600 and 1604

(i) The LCM of 1604 and 1600 is associative

LCM of 1600 and 1604 = LCM of 1604 and 1600

Related Least Common Multiples of 1600

Related Least Common Multiples of 1604

Frequently Asked Questions on LCM of 1600 and 1604

1. What is the LCM of 1600 and 1604?

Answer: LCM of 1600 and 1604 is 641600.

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 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.

4. How to Find the LCM of 1600 and 1604?

Answer:

Least Common Multiple of 1600 and 1604 = 641600

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 1604

1604 = 2 x 2 x 401

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

LCM = 641600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 401

Step 4: Therefore, the least common multiple of 1600 and 1604 is 641600.