Least Common Multiple of 5613 and 5618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5613 and 5618 the smallest integer that is 31533834 that is divisible by both numbers.

Least Common Multiple (LCM) of 5613 and 5618 is 31533834.

LCM(5613,5618) = 31533834

LCM of 5613 and 5618

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

LCM of:
and

Least Common Multiple of 5613 and 5618

LCM of 5613 and 5618 is 31533834

Least common multiple can be found by multiplying the highest exponent prime factors of 5613 and 5618. First we will calculate the prime factors of 5613 and 5618.

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

Prime Factorization of 5618


2 5618
53 2809
53 53
1

Prime factors of 5618 are 2,53. Prime factorization of 5618 in exponential form is:

5618 = 21×532

Now multiplying the highest exponent prime factors to calculate the LCM of 5613 and 5618.

LCM(5613,5618) = 21×31×532×18711
LCM(5613,5618) = 31533834

Factors of 5613

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

1, 3, 1871, 5613

Factors of 5618

List of positive integer factors of 5618 that divides 5618 without a remainder.

1, 2, 53, 106, 2809, 5618

Least Common Multiple of 5613 and 5618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5613 and 5618, than apply into the LCM equation.

GCF(5613,5618) = 1
LCM(5613,5618) = ( 5613 × 5618) / 1
LCM(5613,5618) = 31533834 / 1
LCM(5613,5618) = 31533834

Properties of LCM 5613 and 5618

(i) The LCM of 5618 and 5613 is associative

LCM of 5613 and 5618 = LCM of 5618 and 5613

Related Least Common Multiples of 5613

Related Least Common Multiples of 5618

Frequently Asked Questions on LCM of 5613 and 5618

1. What is the LCM of 5613 and 5618?

Answer: LCM of 5613 and 5618 is 31533834.

2. 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.

3. What are the Factors of 5618?

Answer: Factors of 5618 are 1, 2, 53, 106, 2809, 5618. There are 6 integers that are factors of 5618. The greatest factor of 5618 is 5618.

4. How to Find the LCM of 5613 and 5618?

Answer:

Least Common Multiple of 5613 and 5618 = 31533834

Step 1: Find the prime factorization of 5613

5613 = 3 x 1871

Step 2: Find the prime factorization of 5618

5618 = 2 x 53 x 53

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

LCM = 31533834 = 2 x 3 x 53 x 53 x 1871

Step 4: Therefore, the least common multiple of 5613 and 5618 is 31533834.