Least Common Multiple of 5733 and 5738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5733 and 5738 the smallest integer that is 32895954 that is divisible by both numbers.

Least Common Multiple (LCM) of 5733 and 5738 is 32895954.

LCM(5733,5738) = 32895954

LCM of 5733 and 5738

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

LCM of:
and

Least Common Multiple of 5733 and 5738

LCM of 5733 and 5738 is 32895954

Least common multiple can be found by multiplying the highest exponent prime factors of 5733 and 5738. First we will calculate the prime factors of 5733 and 5738.

Prime Factorization of 5733


3 5733
3 1911
7 637
7 91
13 13
1

Prime factors of 5733 are 3, 7,13. Prime factorization of 5733 in exponential form is:

5733 = 32×72×131

Prime Factorization of 5738


2 5738
19 2869
151 151
1

Prime factors of 5738 are 2, 19,151. Prime factorization of 5738 in exponential form is:

5738 = 21×191×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5733 and 5738.

LCM(5733,5738) = 21×32×72×131×191×1511
LCM(5733,5738) = 32895954

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733

Factors of 5738

List of positive integer factors of 5738 that divides 5738 without a remainder.

1, 2, 19, 38, 151, 302, 2869, 5738

Least Common Multiple of 5733 and 5738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5733 and 5738, than apply into the LCM equation.

GCF(5733,5738) = 1
LCM(5733,5738) = ( 5733 × 5738) / 1
LCM(5733,5738) = 32895954 / 1
LCM(5733,5738) = 32895954

Properties of LCM 5733 and 5738

(i) The LCM of 5738 and 5733 is associative

LCM of 5733 and 5738 = LCM of 5738 and 5733

Related Least Common Multiples of 5733

Related Least Common Multiples of 5738

Frequently Asked Questions on LCM of 5733 and 5738

1. What is the LCM of 5733 and 5738?

Answer: LCM of 5733 and 5738 is 32895954.

2. What are the Factors of 5733?

Answer: Factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733. There are 18 integers that are factors of 5733. The greatest factor of 5733 is 5733.

3. What are the Factors of 5738?

Answer: Factors of 5738 are 1, 2, 19, 38, 151, 302, 2869, 5738. There are 8 integers that are factors of 5738. The greatest factor of 5738 is 5738.

4. How to Find the LCM of 5733 and 5738?

Answer:

Least Common Multiple of 5733 and 5738 = 32895954

Step 1: Find the prime factorization of 5733

5733 = 3 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 5738

5738 = 2 x 19 x 151

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

LCM = 32895954 = 2 x 3 x 3 x 7 x 7 x 13 x 19 x 151

Step 4: Therefore, the least common multiple of 5733 and 5738 is 32895954.