Least Common Multiple of 5736 and 5741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5736 and 5741 the smallest integer that is 32930376 that is divisible by both numbers.

Least Common Multiple (LCM) of 5736 and 5741 is 32930376.

LCM(5736,5741) = 32930376

LCM of 5736 and 5741

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

LCM of:
and

Least Common Multiple of 5736 and 5741

LCM of 5736 and 5741 is 32930376

Least common multiple can be found by multiplying the highest exponent prime factors of 5736 and 5741. First we will calculate the prime factors of 5736 and 5741.

Prime Factorization of 5736


2 5736
2 2868
2 1434
3 717
239 239
1

Prime factors of 5736 are 2, 3,239. Prime factorization of 5736 in exponential form is:

5736 = 23×31×2391

Prime Factorization of 5741


5741 5741
1

Prime factors of 5741 are 5741. Prime factorization of 5741 in exponential form is:

5741 = 57411

Now multiplying the highest exponent prime factors to calculate the LCM of 5736 and 5741.

LCM(5736,5741) = 23×31×2391×57411
LCM(5736,5741) = 32930376

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736

Factors of 5741

List of positive integer factors of 5741 that divides 5741 without a remainder.

1, 5741

Least Common Multiple of 5736 and 5741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5736 and 5741, than apply into the LCM equation.

GCF(5736,5741) = 1
LCM(5736,5741) = ( 5736 × 5741) / 1
LCM(5736,5741) = 32930376 / 1
LCM(5736,5741) = 32930376

Properties of LCM 5736 and 5741

(i) The LCM of 5741 and 5736 is associative

LCM of 5736 and 5741 = LCM of 5741 and 5736

Related Least Common Multiples of 5736

Related Least Common Multiples of 5741

Frequently Asked Questions on LCM of 5736 and 5741

1. What is the LCM of 5736 and 5741?

Answer: LCM of 5736 and 5741 is 32930376.

2. What are the Factors of 5736?

Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.

3. What are the Factors of 5741?

Answer: Factors of 5741 are 1, 5741. There are 2 integers that are factors of 5741. The greatest factor of 5741 is 5741.

4. How to Find the LCM of 5736 and 5741?

Answer:

Least Common Multiple of 5736 and 5741 = 32930376

Step 1: Find the prime factorization of 5736

5736 = 2 x 2 x 2 x 3 x 239

Step 2: Find the prime factorization of 5741

5741 = 5741

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

LCM = 32930376 = 2 x 2 x 2 x 3 x 239 x 5741

Step 4: Therefore, the least common multiple of 5736 and 5741 is 32930376.