Least Common Multiple of 5600 and 5605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5600 and 5605 the smallest integer that is 6277600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5600 and 5605 is 6277600.

LCM(5600,5605) = 6277600

LCM of 5600 and 5605

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

LCM of:
and

Least Common Multiple of 5600 and 5605

LCM of 5600 and 5605 is 6277600

Least common multiple can be found by multiplying the highest exponent prime factors of 5600 and 5605. First we will calculate the prime factors of 5600 and 5605.

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

Prime Factorization of 5605


5 5605
19 1121
59 59
1

Prime factors of 5605 are 5, 19,59. Prime factorization of 5605 in exponential form is:

5605 = 51×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5600 and 5605.

LCM(5600,5605) = 25×52×71×191×591
LCM(5600,5605) = 6277600

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

Factors of 5605

List of positive integer factors of 5605 that divides 5605 without a remainder.

1, 5, 19, 59, 95, 295, 1121, 5605

Least Common Multiple of 5600 and 5605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5600 and 5605, than apply into the LCM equation.

GCF(5600,5605) = 5
LCM(5600,5605) = ( 5600 × 5605) / 5
LCM(5600,5605) = 31388000 / 5
LCM(5600,5605) = 6277600

Properties of LCM 5600 and 5605

(i) The LCM of 5605 and 5600 is associative

LCM of 5600 and 5605 = LCM of 5605 and 5600

Related Least Common Multiples of 5600

Related Least Common Multiples of 5605

Frequently Asked Questions on LCM of 5600 and 5605

1. What is the LCM of 5600 and 5605?

Answer: LCM of 5600 and 5605 is 6277600.

2. 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.

3. What are the Factors of 5605?

Answer: Factors of 5605 are 1, 5, 19, 59, 95, 295, 1121, 5605. There are 8 integers that are factors of 5605. The greatest factor of 5605 is 5605.

4. How to Find the LCM of 5600 and 5605?

Answer:

Least Common Multiple of 5600 and 5605 = 6277600

Step 1: Find the prime factorization of 5600

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

Step 2: Find the prime factorization of 5605

5605 = 5 x 19 x 59

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

LCM = 6277600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 19 x 59

Step 4: Therefore, the least common multiple of 5600 and 5605 is 6277600.