Least Common Multiple of 5595 and 5600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5595 and 5600 the smallest integer that is 6266400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5595 and 5600 is 6266400.

LCM(5595,5600) = 6266400

LCM of 5595 and 5600

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

LCM of:
and

Least Common Multiple of 5595 and 5600

LCM of 5595 and 5600 is 6266400

Least common multiple can be found by multiplying the highest exponent prime factors of 5595 and 5600. First we will calculate the prime factors of 5595 and 5600.

Prime Factorization of 5595


3 5595
5 1865
373 373
1

Prime factors of 5595 are 3, 5,373. Prime factorization of 5595 in exponential form is:

5595 = 31×51×3731

Prime Factorization of 5600


2 5600
2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 5600 are 2, 5,7. Prime factorization of 5600 in exponential form is:

5600 = 25×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 5595 and 5600.

LCM(5595,5600) = 25×31×52×71×3731
LCM(5595,5600) = 6266400

Factors of 5595

List of positive integer factors of 5595 that divides 5595 without a remainder.

1, 3, 5, 15, 373, 1119, 1865, 5595

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600

Least Common Multiple of 5595 and 5600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5595 and 5600, than apply into the LCM equation.

GCF(5595,5600) = 5
LCM(5595,5600) = ( 5595 × 5600) / 5
LCM(5595,5600) = 31332000 / 5
LCM(5595,5600) = 6266400

Properties of LCM 5595 and 5600

(i) The LCM of 5600 and 5595 is associative

LCM of 5595 and 5600 = LCM of 5600 and 5595

Related Least Common Multiples of 5595

Related Least Common Multiples of 5600

Frequently Asked Questions on LCM of 5595 and 5600

1. What is the LCM of 5595 and 5600?

Answer: LCM of 5595 and 5600 is 6266400.

2. What are the Factors of 5595?

Answer: Factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595. There are 8 integers that are factors of 5595. The greatest factor of 5595 is 5595.

3. What are the Factors of 5600?

Answer: Factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600. There are 36 integers that are factors of 5600. The greatest factor of 5600 is 5600.

4. How to Find the LCM of 5595 and 5600?

Answer:

Least Common Multiple of 5595 and 5600 = 6266400

Step 1: Find the prime factorization of 5595

5595 = 3 x 5 x 373

Step 2: Find the prime factorization of 5600

5600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7

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

LCM = 6266400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 373

Step 4: Therefore, the least common multiple of 5595 and 5600 is 6266400.