Least Common Multiple of 1595 and 1600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1595 and 1600 the smallest integer that is 510400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1595 and 1600 is 510400.

LCM(1595,1600) = 510400

LCM of 1595 and 1600

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

LCM of:
and

Least Common Multiple of 1595 and 1600

LCM of 1595 and 1600 is 510400

Least common multiple can be found by multiplying the highest exponent prime factors of 1595 and 1600. First we will calculate the prime factors of 1595 and 1600.

Prime Factorization of 1595


5 1595
11 319
29 29
1

Prime factors of 1595 are 5, 11,29. Prime factorization of 1595 in exponential form is:

1595 = 51×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1595 and 1600.

LCM(1595,1600) = 26×52×111×291
LCM(1595,1600) = 510400

Factors of 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1, 5, 11, 29, 55, 145, 319, 1595

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

Least Common Multiple of 1595 and 1600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1595 and 1600, than apply into the LCM equation.

GCF(1595,1600) = 5
LCM(1595,1600) = ( 1595 × 1600) / 5
LCM(1595,1600) = 2552000 / 5
LCM(1595,1600) = 510400

Properties of LCM 1595 and 1600

(i) The LCM of 1600 and 1595 is associative

LCM of 1595 and 1600 = LCM of 1600 and 1595

Related Least Common Multiples of 1595

Related Least Common Multiples of 1600

Frequently Asked Questions on LCM of 1595 and 1600

1. What is the LCM of 1595 and 1600?

Answer: LCM of 1595 and 1600 is 510400.

2. What are the Factors of 1595?

Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.

3. 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.

4. How to Find the LCM of 1595 and 1600?

Answer:

Least Common Multiple of 1595 and 1600 = 510400

Step 1: Find the prime factorization of 1595

1595 = 5 x 11 x 29

Step 2: Find the prime factorization of 1600

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

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

LCM = 510400 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 1595 and 1600 is 510400.