Least Common Multiple of 5744 and 5749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5744 and 5749 the smallest integer that is 33022256 that is divisible by both numbers.

Least Common Multiple (LCM) of 5744 and 5749 is 33022256.

LCM(5744,5749) = 33022256

LCM of 5744 and 5749

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

LCM of:
and

Least Common Multiple of 5744 and 5749

LCM of 5744 and 5749 is 33022256

Least common multiple can be found by multiplying the highest exponent prime factors of 5744 and 5749. First we will calculate the prime factors of 5744 and 5749.

Prime Factorization of 5744


2 5744
2 2872
2 1436
2 718
359 359
1

Prime factors of 5744 are 2,359. Prime factorization of 5744 in exponential form is:

5744 = 24×3591

Prime Factorization of 5749


5749 5749
1

Prime factors of 5749 are 5749. Prime factorization of 5749 in exponential form is:

5749 = 57491

Now multiplying the highest exponent prime factors to calculate the LCM of 5744 and 5749.

LCM(5744,5749) = 24×3591×57491
LCM(5744,5749) = 33022256

Factors of 5744

List of positive integer factors of 5744 that divides 5744 without a remainder.

1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744

Factors of 5749

List of positive integer factors of 5749 that divides 5749 without a remainder.

1, 5749

Least Common Multiple of 5744 and 5749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5744 and 5749, than apply into the LCM equation.

GCF(5744,5749) = 1
LCM(5744,5749) = ( 5744 × 5749) / 1
LCM(5744,5749) = 33022256 / 1
LCM(5744,5749) = 33022256

Properties of LCM 5744 and 5749

(i) The LCM of 5749 and 5744 is associative

LCM of 5744 and 5749 = LCM of 5749 and 5744

Related Least Common Multiples of 5744

Related Least Common Multiples of 5749

Frequently Asked Questions on LCM of 5744 and 5749

1. What is the LCM of 5744 and 5749?

Answer: LCM of 5744 and 5749 is 33022256.

2. What are the Factors of 5744?

Answer: Factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744. There are 10 integers that are factors of 5744. The greatest factor of 5744 is 5744.

3. What are the Factors of 5749?

Answer: Factors of 5749 are 1, 5749. There are 2 integers that are factors of 5749. The greatest factor of 5749 is 5749.

4. How to Find the LCM of 5744 and 5749?

Answer:

Least Common Multiple of 5744 and 5749 = 33022256

Step 1: Find the prime factorization of 5744

5744 = 2 x 2 x 2 x 2 x 359

Step 2: Find the prime factorization of 5749

5749 = 5749

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

LCM = 33022256 = 2 x 2 x 2 x 2 x 359 x 5749

Step 4: Therefore, the least common multiple of 5744 and 5749 is 33022256.