Least Common Multiple of 5633 and 5641

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 5641 the smallest integer that is 31775753 that is divisible by both numbers.

Least Common Multiple (LCM) of 5633 and 5641 is 31775753.

LCM(5633,5641) = 31775753

LCM of 5633 and 5641

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

LCM of:
and

Least Common Multiple of 5633 and 5641

LCM of 5633 and 5641 is 31775753

Least common multiple can be found by multiplying the highest exponent prime factors of 5633 and 5641. First we will calculate the prime factors of 5633 and 5641.

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 5641


5641 5641
1

Prime factors of 5641 are 5641. Prime factorization of 5641 in exponential form is:

5641 = 56411

Now multiplying the highest exponent prime factors to calculate the LCM of 5633 and 5641.

LCM(5633,5641) = 431×1311×56411
LCM(5633,5641) = 31775753

Factors of 5633

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

1, 43, 131, 5633

Factors of 5641

List of positive integer factors of 5641 that divides 5641 without a remainder.

1, 5641

Least Common Multiple of 5633 and 5641 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 5641, than apply into the LCM equation.

GCF(5633,5641) = 1
LCM(5633,5641) = ( 5633 × 5641) / 1
LCM(5633,5641) = 31775753 / 1
LCM(5633,5641) = 31775753

Properties of LCM 5633 and 5641

(i) The LCM of 5641 and 5633 is associative

LCM of 5633 and 5641 = LCM of 5641 and 5633

Related Least Common Multiples of 5633

Related Least Common Multiples of 5641

Frequently Asked Questions on LCM of 5633 and 5641

1. What is the LCM of 5633 and 5641?

Answer: LCM of 5633 and 5641 is 31775753.

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 5641?

Answer: Factors of 5641 are 1, 5641. There are 2 integers that are factors of 5641. The greatest factor of 5641 is 5641.

4. How to Find the LCM of 5633 and 5641?

Answer:

Least Common Multiple of 5633 and 5641 = 31775753

Step 1: Find the prime factorization of 5633

5633 = 43 x 131

Step 2: Find the prime factorization of 5641

5641 = 5641

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

LCM = 31775753 = 43 x 131 x 5641

Step 4: Therefore, the least common multiple of 5633 and 5641 is 31775753.