Least Common Multiple of 5609 and 5613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5609 and 5613 the smallest integer that is 31483317 that is divisible by both numbers.

Least Common Multiple (LCM) of 5609 and 5613 is 31483317.

LCM(5609,5613) = 31483317

LCM of 5609 and 5613

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

LCM of:
and

Least Common Multiple of 5609 and 5613

LCM of 5609 and 5613 is 31483317

Least common multiple can be found by multiplying the highest exponent prime factors of 5609 and 5613. First we will calculate the prime factors of 5609 and 5613.

Prime Factorization of 5609


71 5609
79 79
1

Prime factors of 5609 are 71,79. Prime factorization of 5609 in exponential form is:

5609 = 711×791

Prime Factorization of 5613


3 5613
1871 1871
1

Prime factors of 5613 are 3,1871. Prime factorization of 5613 in exponential form is:

5613 = 31×18711

Now multiplying the highest exponent prime factors to calculate the LCM of 5609 and 5613.

LCM(5609,5613) = 31×711×791×18711
LCM(5609,5613) = 31483317

Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1, 71, 79, 5609

Factors of 5613

List of positive integer factors of 5613 that divides 5613 without a remainder.

1, 3, 1871, 5613

Least Common Multiple of 5609 and 5613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5609 and 5613, than apply into the LCM equation.

GCF(5609,5613) = 1
LCM(5609,5613) = ( 5609 × 5613) / 1
LCM(5609,5613) = 31483317 / 1
LCM(5609,5613) = 31483317

Properties of LCM 5609 and 5613

(i) The LCM of 5613 and 5609 is associative

LCM of 5609 and 5613 = LCM of 5613 and 5609

Related Least Common Multiples of 5609

Related Least Common Multiples of 5613

Frequently Asked Questions on LCM of 5609 and 5613

1. What is the LCM of 5609 and 5613?

Answer: LCM of 5609 and 5613 is 31483317.

2. What are the Factors of 5609?

Answer: Factors of 5609 are 1, 71, 79, 5609. There are 4 integers that are factors of 5609. The greatest factor of 5609 is 5609.

3. What are the Factors of 5613?

Answer: Factors of 5613 are 1, 3, 1871, 5613. There are 4 integers that are factors of 5613. The greatest factor of 5613 is 5613.

4. How to Find the LCM of 5609 and 5613?

Answer:

Least Common Multiple of 5609 and 5613 = 31483317

Step 1: Find the prime factorization of 5609

5609 = 71 x 79

Step 2: Find the prime factorization of 5613

5613 = 3 x 1871

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

LCM = 31483317 = 3 x 71 x 79 x 1871

Step 4: Therefore, the least common multiple of 5609 and 5613 is 31483317.