Least Common Multiple of 5633 and 5638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5633 and 5638 the smallest integer that is 31758854 that is divisible by both numbers.

Least Common Multiple (LCM) of 5633 and 5638 is 31758854.

LCM(5633,5638) = 31758854

LCM of 5633 and 5638

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

LCM of:
and

Least Common Multiple of 5633 and 5638

LCM of 5633 and 5638 is 31758854

Least common multiple can be found by multiplying the highest exponent prime factors of 5633 and 5638. First we will calculate the prime factors of 5633 and 5638.

Prime Factorization of 5633


43 5633
131 131
1

Prime factors of 5633 are 43,131. Prime factorization of 5633 in exponential form is:

5633 = 431×1311

Prime Factorization of 5638


2 5638
2819 2819
1

Prime factors of 5638 are 2,2819. Prime factorization of 5638 in exponential form is:

5638 = 21×28191

Now multiplying the highest exponent prime factors to calculate the LCM of 5633 and 5638.

LCM(5633,5638) = 21×431×1311×28191
LCM(5633,5638) = 31758854

Factors of 5633

List of positive integer factors of 5633 that divides 5633 without a remainder.

1, 43, 131, 5633

Factors of 5638

List of positive integer factors of 5638 that divides 5638 without a remainder.

1, 2, 2819, 5638

Least Common Multiple of 5633 and 5638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5633 and 5638, than apply into the LCM equation.

GCF(5633,5638) = 1
LCM(5633,5638) = ( 5633 × 5638) / 1
LCM(5633,5638) = 31758854 / 1
LCM(5633,5638) = 31758854

Properties of LCM 5633 and 5638

(i) The LCM of 5638 and 5633 is associative

LCM of 5633 and 5638 = LCM of 5638 and 5633

Related Least Common Multiples of 5633

Related Least Common Multiples of 5638

Frequently Asked Questions on LCM of 5633 and 5638

1. What is the LCM of 5633 and 5638?

Answer: LCM of 5633 and 5638 is 31758854.

2. What are the Factors of 5633?

Answer: Factors of 5633 are 1, 43, 131, 5633. There are 4 integers that are factors of 5633. The greatest factor of 5633 is 5633.

3. What are the Factors of 5638?

Answer: Factors of 5638 are 1, 2, 2819, 5638. There are 4 integers that are factors of 5638. The greatest factor of 5638 is 5638.

4. How to Find the LCM of 5633 and 5638?

Answer:

Least Common Multiple of 5633 and 5638 = 31758854

Step 1: Find the prime factorization of 5633

5633 = 43 x 131

Step 2: Find the prime factorization of 5638

5638 = 2 x 2819

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

LCM = 31758854 = 2 x 43 x 131 x 2819

Step 4: Therefore, the least common multiple of 5633 and 5638 is 31758854.