Least Common Multiple of 5612 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 5612 and 5613 the smallest integer that is 31500156 that is divisible by both numbers.

Least Common Multiple (LCM) of 5612 and 5613 is 31500156.

LCM(5612,5613) = 31500156

LCM of 5612 and 5613

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

LCM of:
and

Least Common Multiple of 5612 and 5613

LCM of 5612 and 5613 is 31500156

Least common multiple can be found by multiplying the highest exponent prime factors of 5612 and 5613. First we will calculate the prime factors of 5612 and 5613.

Prime Factorization of 5612


2 5612
2 2806
23 1403
61 61
1

Prime factors of 5612 are 2, 23,61. Prime factorization of 5612 in exponential form is:

5612 = 22×231×611

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 5612 and 5613.

LCM(5612,5613) = 22×31×231×611×18711
LCM(5612,5613) = 31500156

Factors of 5612

List of positive integer factors of 5612 that divides 5612 without a remainder.

1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612

Factors of 5613

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

1, 3, 1871, 5613

Least Common Multiple of 5612 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 5612 and 5613, than apply into the LCM equation.

GCF(5612,5613) = 1
LCM(5612,5613) = ( 5612 × 5613) / 1
LCM(5612,5613) = 31500156 / 1
LCM(5612,5613) = 31500156

Properties of LCM 5612 and 5613

(i) The LCM of 5613 and 5612 is associative

LCM of 5612 and 5613 = LCM of 5613 and 5612

Related Least Common Multiples of 5612

Related Least Common Multiples of 5613

Frequently Asked Questions on LCM of 5612 and 5613

1. What is the LCM of 5612 and 5613?

Answer: LCM of 5612 and 5613 is 31500156.

2. What are the Factors of 5612?

Answer: Factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612. There are 12 integers that are factors of 5612. The greatest factor of 5612 is 5612.

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 5612 and 5613?

Answer:

Least Common Multiple of 5612 and 5613 = 31500156

Step 1: Find the prime factorization of 5612

5612 = 2 x 2 x 23 x 61

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 = 31500156 = 2 x 2 x 3 x 23 x 61 x 1871

Step 4: Therefore, the least common multiple of 5612 and 5613 is 31500156.