Least Common Multiple of 5738 and 5745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5738 and 5745 the smallest integer that is 32964810 that is divisible by both numbers.

Least Common Multiple (LCM) of 5738 and 5745 is 32964810.

LCM(5738,5745) = 32964810

LCM of 5738 and 5745

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

LCM of:
and

Least Common Multiple of 5738 and 5745

LCM of 5738 and 5745 is 32964810

Least common multiple can be found by multiplying the highest exponent prime factors of 5738 and 5745. First we will calculate the prime factors of 5738 and 5745.

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

Prime Factorization of 5745


3 5745
5 1915
383 383
1

Prime factors of 5745 are 3, 5,383. Prime factorization of 5745 in exponential form is:

5745 = 31×51×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 5738 and 5745.

LCM(5738,5745) = 21×31×51×191×1511×3831
LCM(5738,5745) = 32964810

Factors of 5738

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

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

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1, 3, 5, 15, 383, 1149, 1915, 5745

Least Common Multiple of 5738 and 5745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5738 and 5745, than apply into the LCM equation.

GCF(5738,5745) = 1
LCM(5738,5745) = ( 5738 × 5745) / 1
LCM(5738,5745) = 32964810 / 1
LCM(5738,5745) = 32964810

Properties of LCM 5738 and 5745

(i) The LCM of 5745 and 5738 is associative

LCM of 5738 and 5745 = LCM of 5745 and 5738

Related Least Common Multiples of 5738

Related Least Common Multiples of 5745

Frequently Asked Questions on LCM of 5738 and 5745

1. What is the LCM of 5738 and 5745?

Answer: LCM of 5738 and 5745 is 32964810.

2. 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.

3. What are the Factors of 5745?

Answer: Factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745. There are 8 integers that are factors of 5745. The greatest factor of 5745 is 5745.

4. How to Find the LCM of 5738 and 5745?

Answer:

Least Common Multiple of 5738 and 5745 = 32964810

Step 1: Find the prime factorization of 5738

5738 = 2 x 19 x 151

Step 2: Find the prime factorization of 5745

5745 = 3 x 5 x 383

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

LCM = 32964810 = 2 x 3 x 5 x 19 x 151 x 383

Step 4: Therefore, the least common multiple of 5738 and 5745 is 32964810.