Least Common Multiple of 5600 and 5604

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 5604 the smallest integer that is 7845600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5600 and 5604 is 7845600.

LCM(5600,5604) = 7845600

LCM of 5600 and 5604

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

LCM of:
and

Least Common Multiple of 5600 and 5604

LCM of 5600 and 5604 is 7845600

Least common multiple can be found by multiplying the highest exponent prime factors of 5600 and 5604. First we will calculate the prime factors of 5600 and 5604.

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 5604


2 5604
2 2802
3 1401
467 467
1

Prime factors of 5604 are 2, 3,467. Prime factorization of 5604 in exponential form is:

5604 = 22×31×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 5600 and 5604.

LCM(5600,5604) = 25×31×52×71×4671
LCM(5600,5604) = 7845600

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 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604

Least Common Multiple of 5600 and 5604 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 5604, than apply into the LCM equation.

GCF(5600,5604) = 4
LCM(5600,5604) = ( 5600 × 5604) / 4
LCM(5600,5604) = 31382400 / 4
LCM(5600,5604) = 7845600

Properties of LCM 5600 and 5604

(i) The LCM of 5604 and 5600 is associative

LCM of 5600 and 5604 = LCM of 5604 and 5600

Related Least Common Multiples of 5600

Related Least Common Multiples of 5604

Frequently Asked Questions on LCM of 5600 and 5604

1. What is the LCM of 5600 and 5604?

Answer: LCM of 5600 and 5604 is 7845600.

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 5604?

Answer: Factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604. There are 12 integers that are factors of 5604. The greatest factor of 5604 is 5604.

4. How to Find the LCM of 5600 and 5604?

Answer:

Least Common Multiple of 5600 and 5604 = 7845600

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 5604

5604 = 2 x 2 x 3 x 467

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

LCM = 7845600 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 467

Step 4: Therefore, the least common multiple of 5600 and 5604 is 7845600.