Least Common Multiple of 5727 and 5735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5727 and 5735 the smallest integer that is 32844345 that is divisible by both numbers.

Least Common Multiple (LCM) of 5727 and 5735 is 32844345.

LCM(5727,5735) = 32844345

LCM of 5727 and 5735

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

LCM of:
and

Least Common Multiple of 5727 and 5735

LCM of 5727 and 5735 is 32844345

Least common multiple can be found by multiplying the highest exponent prime factors of 5727 and 5735. First we will calculate the prime factors of 5727 and 5735.

Prime Factorization of 5727


3 5727
23 1909
83 83
1

Prime factors of 5727 are 3, 23,83. Prime factorization of 5727 in exponential form is:

5727 = 31×231×831

Prime Factorization of 5735


5 5735
31 1147
37 37
1

Prime factors of 5735 are 5, 31,37. Prime factorization of 5735 in exponential form is:

5735 = 51×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5727 and 5735.

LCM(5727,5735) = 31×51×231×311×371×831
LCM(5727,5735) = 32844345

Factors of 5727

List of positive integer factors of 5727 that divides 5727 without a remainder.

1, 3, 23, 69, 83, 249, 1909, 5727

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1, 5, 31, 37, 155, 185, 1147, 5735

Least Common Multiple of 5727 and 5735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5727 and 5735, than apply into the LCM equation.

GCF(5727,5735) = 1
LCM(5727,5735) = ( 5727 × 5735) / 1
LCM(5727,5735) = 32844345 / 1
LCM(5727,5735) = 32844345

Properties of LCM 5727 and 5735

(i) The LCM of 5735 and 5727 is associative

LCM of 5727 and 5735 = LCM of 5735 and 5727

Related Least Common Multiples of 5727

Related Least Common Multiples of 5735

Frequently Asked Questions on LCM of 5727 and 5735

1. What is the LCM of 5727 and 5735?

Answer: LCM of 5727 and 5735 is 32844345.

2. What are the Factors of 5727?

Answer: Factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727. There are 8 integers that are factors of 5727. The greatest factor of 5727 is 5727.

3. What are the Factors of 5735?

Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.

4. How to Find the LCM of 5727 and 5735?

Answer:

Least Common Multiple of 5727 and 5735 = 32844345

Step 1: Find the prime factorization of 5727

5727 = 3 x 23 x 83

Step 2: Find the prime factorization of 5735

5735 = 5 x 31 x 37

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

LCM = 32844345 = 3 x 5 x 23 x 31 x 37 x 83

Step 4: Therefore, the least common multiple of 5727 and 5735 is 32844345.