Least Common Multiple of 1600 and 1603

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 1603 the smallest integer that is 2564800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1600 and 1603 is 2564800.

LCM(1600,1603) = 2564800

LCM of 1600 and 1603

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

LCM of:
and

Least Common Multiple of 1600 and 1603

LCM of 1600 and 1603 is 2564800

Least common multiple can be found by multiplying the highest exponent prime factors of 1600 and 1603. First we will calculate the prime factors of 1600 and 1603.

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 1603


7 1603
229 229
1

Prime factors of 1603 are 7,229. Prime factorization of 1603 in exponential form is:

1603 = 71×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 1600 and 1603.

LCM(1600,1603) = 26×52×71×2291
LCM(1600,1603) = 2564800

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 1603

List of positive integer factors of 1603 that divides 1603 without a remainder.

1, 7, 229, 1603

Least Common Multiple of 1600 and 1603 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 1603, than apply into the LCM equation.

GCF(1600,1603) = 1
LCM(1600,1603) = ( 1600 × 1603) / 1
LCM(1600,1603) = 2564800 / 1
LCM(1600,1603) = 2564800

Properties of LCM 1600 and 1603

(i) The LCM of 1603 and 1600 is associative

LCM of 1600 and 1603 = LCM of 1603 and 1600

Related Least Common Multiples of 1600

Related Least Common Multiples of 1603

Frequently Asked Questions on LCM of 1600 and 1603

1. What is the LCM of 1600 and 1603?

Answer: LCM of 1600 and 1603 is 2564800.

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 1603?

Answer: Factors of 1603 are 1, 7, 229, 1603. There are 4 integers that are factors of 1603. The greatest factor of 1603 is 1603.

4. How to Find the LCM of 1600 and 1603?

Answer:

Least Common Multiple of 1600 and 1603 = 2564800

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 1603

1603 = 7 x 229

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

LCM = 2564800 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 229

Step 4: Therefore, the least common multiple of 1600 and 1603 is 2564800.