Least Common Multiple of 5603 and 5608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5603 and 5608 the smallest integer that is 31421624 that is divisible by both numbers.

Least Common Multiple (LCM) of 5603 and 5608 is 31421624.

LCM(5603,5608) = 31421624

LCM of 5603 and 5608

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

LCM of:
and

Least Common Multiple of 5603 and 5608

LCM of 5603 and 5608 is 31421624

Least common multiple can be found by multiplying the highest exponent prime factors of 5603 and 5608. First we will calculate the prime factors of 5603 and 5608.

Prime Factorization of 5603


13 5603
431 431
1

Prime factors of 5603 are 13,431. Prime factorization of 5603 in exponential form is:

5603 = 131×4311

Prime Factorization of 5608


2 5608
2 2804
2 1402
701 701
1

Prime factors of 5608 are 2,701. Prime factorization of 5608 in exponential form is:

5608 = 23×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 5603 and 5608.

LCM(5603,5608) = 23×131×4311×7011
LCM(5603,5608) = 31421624

Factors of 5603

List of positive integer factors of 5603 that divides 5603 without a remainder.

1, 13, 431, 5603

Factors of 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1, 2, 4, 8, 701, 1402, 2804, 5608

Least Common Multiple of 5603 and 5608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5603 and 5608, than apply into the LCM equation.

GCF(5603,5608) = 1
LCM(5603,5608) = ( 5603 × 5608) / 1
LCM(5603,5608) = 31421624 / 1
LCM(5603,5608) = 31421624

Properties of LCM 5603 and 5608

(i) The LCM of 5608 and 5603 is associative

LCM of 5603 and 5608 = LCM of 5608 and 5603

Related Least Common Multiples of 5603

Related Least Common Multiples of 5608

Frequently Asked Questions on LCM of 5603 and 5608

1. What is the LCM of 5603 and 5608?

Answer: LCM of 5603 and 5608 is 31421624.

2. What are the Factors of 5603?

Answer: Factors of 5603 are 1, 13, 431, 5603. There are 4 integers that are factors of 5603. The greatest factor of 5603 is 5603.

3. What are the Factors of 5608?

Answer: Factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608. There are 8 integers that are factors of 5608. The greatest factor of 5608 is 5608.

4. How to Find the LCM of 5603 and 5608?

Answer:

Least Common Multiple of 5603 and 5608 = 31421624

Step 1: Find the prime factorization of 5603

5603 = 13 x 431

Step 2: Find the prime factorization of 5608

5608 = 2 x 2 x 2 x 701

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

LCM = 31421624 = 2 x 2 x 2 x 13 x 431 x 701

Step 4: Therefore, the least common multiple of 5603 and 5608 is 31421624.