Least Common Multiple of 5629 and 5636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5629 and 5636 the smallest integer that is 31725044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5629 and 5636 is 31725044.

LCM(5629,5636) = 31725044

LCM of 5629 and 5636

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

LCM of:
and

Least Common Multiple of 5629 and 5636

LCM of 5629 and 5636 is 31725044

Least common multiple can be found by multiplying the highest exponent prime factors of 5629 and 5636. First we will calculate the prime factors of 5629 and 5636.

Prime Factorization of 5629


13 5629
433 433
1

Prime factors of 5629 are 13,433. Prime factorization of 5629 in exponential form is:

5629 = 131×4331

Prime Factorization of 5636


2 5636
2 2818
1409 1409
1

Prime factors of 5636 are 2,1409. Prime factorization of 5636 in exponential form is:

5636 = 22×14091

Now multiplying the highest exponent prime factors to calculate the LCM of 5629 and 5636.

LCM(5629,5636) = 22×131×4331×14091
LCM(5629,5636) = 31725044

Factors of 5629

List of positive integer factors of 5629 that divides 5629 without a remainder.

1, 13, 433, 5629

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1, 2, 4, 1409, 2818, 5636

Least Common Multiple of 5629 and 5636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5629 and 5636, than apply into the LCM equation.

GCF(5629,5636) = 1
LCM(5629,5636) = ( 5629 × 5636) / 1
LCM(5629,5636) = 31725044 / 1
LCM(5629,5636) = 31725044

Properties of LCM 5629 and 5636

(i) The LCM of 5636 and 5629 is associative

LCM of 5629 and 5636 = LCM of 5636 and 5629

Related Least Common Multiples of 5629

Related Least Common Multiples of 5636

Frequently Asked Questions on LCM of 5629 and 5636

1. What is the LCM of 5629 and 5636?

Answer: LCM of 5629 and 5636 is 31725044.

2. What are the Factors of 5629?

Answer: Factors of 5629 are 1, 13, 433, 5629. There are 4 integers that are factors of 5629. The greatest factor of 5629 is 5629.

3. What are the Factors of 5636?

Answer: Factors of 5636 are 1, 2, 4, 1409, 2818, 5636. There are 6 integers that are factors of 5636. The greatest factor of 5636 is 5636.

4. How to Find the LCM of 5629 and 5636?

Answer:

Least Common Multiple of 5629 and 5636 = 31725044

Step 1: Find the prime factorization of 5629

5629 = 13 x 433

Step 2: Find the prime factorization of 5636

5636 = 2 x 2 x 1409

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

LCM = 31725044 = 2 x 2 x 13 x 433 x 1409

Step 4: Therefore, the least common multiple of 5629 and 5636 is 31725044.