Least Common Multiple of 5599 and 5603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5599 and 5603 the smallest integer that is 31371197 that is divisible by both numbers.

Least Common Multiple (LCM) of 5599 and 5603 is 31371197.

LCM(5599,5603) = 31371197

LCM of 5599 and 5603

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

LCM of:
and

Least Common Multiple of 5599 and 5603

LCM of 5599 and 5603 is 31371197

Least common multiple can be found by multiplying the highest exponent prime factors of 5599 and 5603. First we will calculate the prime factors of 5599 and 5603.

Prime Factorization of 5599


11 5599
509 509
1

Prime factors of 5599 are 11,509. Prime factorization of 5599 in exponential form is:

5599 = 111×5091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5599 and 5603.

LCM(5599,5603) = 111×131×4311×5091
LCM(5599,5603) = 31371197

Factors of 5599

List of positive integer factors of 5599 that divides 5599 without a remainder.

1, 11, 509, 5599

Factors of 5603

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

1, 13, 431, 5603

Least Common Multiple of 5599 and 5603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5599 and 5603, than apply into the LCM equation.

GCF(5599,5603) = 1
LCM(5599,5603) = ( 5599 × 5603) / 1
LCM(5599,5603) = 31371197 / 1
LCM(5599,5603) = 31371197

Properties of LCM 5599 and 5603

(i) The LCM of 5603 and 5599 is associative

LCM of 5599 and 5603 = LCM of 5603 and 5599

Related Least Common Multiples of 5599

Related Least Common Multiples of 5603

Frequently Asked Questions on LCM of 5599 and 5603

1. What is the LCM of 5599 and 5603?

Answer: LCM of 5599 and 5603 is 31371197.

2. What are the Factors of 5599?

Answer: Factors of 5599 are 1, 11, 509, 5599. There are 4 integers that are factors of 5599. The greatest factor of 5599 is 5599.

3. 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.

4. How to Find the LCM of 5599 and 5603?

Answer:

Least Common Multiple of 5599 and 5603 = 31371197

Step 1: Find the prime factorization of 5599

5599 = 11 x 509

Step 2: Find the prime factorization of 5603

5603 = 13 x 431

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

LCM = 31371197 = 11 x 13 x 431 x 509

Step 4: Therefore, the least common multiple of 5599 and 5603 is 31371197.