Least Common Multiple of 5629 and 5637

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 5637 the smallest integer that is 31730673 that is divisible by both numbers.

Least Common Multiple (LCM) of 5629 and 5637 is 31730673.

LCM(5629,5637) = 31730673

LCM of 5629 and 5637

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

LCM of:
and

Least Common Multiple of 5629 and 5637

LCM of 5629 and 5637 is 31730673

Least common multiple can be found by multiplying the highest exponent prime factors of 5629 and 5637. First we will calculate the prime factors of 5629 and 5637.

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 5637


3 5637
1879 1879
1

Prime factors of 5637 are 3,1879. Prime factorization of 5637 in exponential form is:

5637 = 31×18791

Now multiplying the highest exponent prime factors to calculate the LCM of 5629 and 5637.

LCM(5629,5637) = 31×131×4331×18791
LCM(5629,5637) = 31730673

Factors of 5629

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

1, 13, 433, 5629

Factors of 5637

List of positive integer factors of 5637 that divides 5637 without a remainder.

1, 3, 1879, 5637

Least Common Multiple of 5629 and 5637 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 5637, than apply into the LCM equation.

GCF(5629,5637) = 1
LCM(5629,5637) = ( 5629 × 5637) / 1
LCM(5629,5637) = 31730673 / 1
LCM(5629,5637) = 31730673

Properties of LCM 5629 and 5637

(i) The LCM of 5637 and 5629 is associative

LCM of 5629 and 5637 = LCM of 5637 and 5629

Related Least Common Multiples of 5629

Related Least Common Multiples of 5637

Frequently Asked Questions on LCM of 5629 and 5637

1. What is the LCM of 5629 and 5637?

Answer: LCM of 5629 and 5637 is 31730673.

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 5637?

Answer: Factors of 5637 are 1, 3, 1879, 5637. There are 4 integers that are factors of 5637. The greatest factor of 5637 is 5637.

4. How to Find the LCM of 5629 and 5637?

Answer:

Least Common Multiple of 5629 and 5637 = 31730673

Step 1: Find the prime factorization of 5629

5629 = 13 x 433

Step 2: Find the prime factorization of 5637

5637 = 3 x 1879

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

LCM = 31730673 = 3 x 13 x 433 x 1879

Step 4: Therefore, the least common multiple of 5629 and 5637 is 31730673.