Least Common Multiple of 5753 and 5760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5753 and 5760 the smallest integer that is 33137280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5753 and 5760 is 33137280.

LCM(5753,5760) = 33137280

LCM of 5753 and 5760

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

LCM of:
and

Least Common Multiple of 5753 and 5760

LCM of 5753 and 5760 is 33137280

Least common multiple can be found by multiplying the highest exponent prime factors of 5753 and 5760. First we will calculate the prime factors of 5753 and 5760.

Prime Factorization of 5753


11 5753
523 523
1

Prime factors of 5753 are 11,523. Prime factorization of 5753 in exponential form is:

5753 = 111×5231

Prime Factorization of 5760


2 5760
2 2880
2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 5760 are 2, 3,5. Prime factorization of 5760 in exponential form is:

5760 = 27×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 5753 and 5760.

LCM(5753,5760) = 27×32×51×111×5231
LCM(5753,5760) = 33137280

Factors of 5753

List of positive integer factors of 5753 that divides 5753 without a remainder.

1, 11, 523, 5753

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760

Least Common Multiple of 5753 and 5760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5753 and 5760, than apply into the LCM equation.

GCF(5753,5760) = 1
LCM(5753,5760) = ( 5753 × 5760) / 1
LCM(5753,5760) = 33137280 / 1
LCM(5753,5760) = 33137280

Properties of LCM 5753 and 5760

(i) The LCM of 5760 and 5753 is associative

LCM of 5753 and 5760 = LCM of 5760 and 5753

Related Least Common Multiples of 5753

Related Least Common Multiples of 5760

Frequently Asked Questions on LCM of 5753 and 5760

1. What is the LCM of 5753 and 5760?

Answer: LCM of 5753 and 5760 is 33137280.

2. What are the Factors of 5753?

Answer: Factors of 5753 are 1, 11, 523, 5753. There are 4 integers that are factors of 5753. The greatest factor of 5753 is 5753.

3. What are the Factors of 5760?

Answer: Factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760. There are 48 integers that are factors of 5760. The greatest factor of 5760 is 5760.

4. How to Find the LCM of 5753 and 5760?

Answer:

Least Common Multiple of 5753 and 5760 = 33137280

Step 1: Find the prime factorization of 5753

5753 = 11 x 523

Step 2: Find the prime factorization of 5760

5760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 33137280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 523

Step 4: Therefore, the least common multiple of 5753 and 5760 is 33137280.