Least Common Multiple of 5633 and 5639

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 5639 the smallest integer that is 31764487 that is divisible by both numbers.

Least Common Multiple (LCM) of 5633 and 5639 is 31764487.

LCM(5633,5639) = 31764487

LCM of 5633 and 5639

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

LCM of:
and

Least Common Multiple of 5633 and 5639

LCM of 5633 and 5639 is 31764487

Least common multiple can be found by multiplying the highest exponent prime factors of 5633 and 5639. First we will calculate the prime factors of 5633 and 5639.

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 5639


5639 5639
1

Prime factors of 5639 are 5639. Prime factorization of 5639 in exponential form is:

5639 = 56391

Now multiplying the highest exponent prime factors to calculate the LCM of 5633 and 5639.

LCM(5633,5639) = 431×1311×56391
LCM(5633,5639) = 31764487

Factors of 5633

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

1, 43, 131, 5633

Factors of 5639

List of positive integer factors of 5639 that divides 5639 without a remainder.

1, 5639

Least Common Multiple of 5633 and 5639 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 5639, than apply into the LCM equation.

GCF(5633,5639) = 1
LCM(5633,5639) = ( 5633 × 5639) / 1
LCM(5633,5639) = 31764487 / 1
LCM(5633,5639) = 31764487

Properties of LCM 5633 and 5639

(i) The LCM of 5639 and 5633 is associative

LCM of 5633 and 5639 = LCM of 5639 and 5633

Related Least Common Multiples of 5633

Related Least Common Multiples of 5639

Frequently Asked Questions on LCM of 5633 and 5639

1. What is the LCM of 5633 and 5639?

Answer: LCM of 5633 and 5639 is 31764487.

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 5639?

Answer: Factors of 5639 are 1, 5639. There are 2 integers that are factors of 5639. The greatest factor of 5639 is 5639.

4. How to Find the LCM of 5633 and 5639?

Answer:

Least Common Multiple of 5633 and 5639 = 31764487

Step 1: Find the prime factorization of 5633

5633 = 43 x 131

Step 2: Find the prime factorization of 5639

5639 = 5639

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

LCM = 31764487 = 43 x 131 x 5639

Step 4: Therefore, the least common multiple of 5633 and 5639 is 31764487.