Least Common Multiple of 5727 and 5732

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 5732 the smallest integer that is 32827164 that is divisible by both numbers.

Least Common Multiple (LCM) of 5727 and 5732 is 32827164.

LCM(5727,5732) = 32827164

LCM of 5727 and 5732

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

LCM of:
and

Least Common Multiple of 5727 and 5732

LCM of 5727 and 5732 is 32827164

Least common multiple can be found by multiplying the highest exponent prime factors of 5727 and 5732. First we will calculate the prime factors of 5727 and 5732.

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 5732


2 5732
2 2866
1433 1433
1

Prime factors of 5732 are 2,1433. Prime factorization of 5732 in exponential form is:

5732 = 22×14331

Now multiplying the highest exponent prime factors to calculate the LCM of 5727 and 5732.

LCM(5727,5732) = 22×31×231×831×14331
LCM(5727,5732) = 32827164

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 5732

List of positive integer factors of 5732 that divides 5732 without a remainder.

1, 2, 4, 1433, 2866, 5732

Least Common Multiple of 5727 and 5732 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 5732, than apply into the LCM equation.

GCF(5727,5732) = 1
LCM(5727,5732) = ( 5727 × 5732) / 1
LCM(5727,5732) = 32827164 / 1
LCM(5727,5732) = 32827164

Properties of LCM 5727 and 5732

(i) The LCM of 5732 and 5727 is associative

LCM of 5727 and 5732 = LCM of 5732 and 5727

Related Least Common Multiples of 5727

Related Least Common Multiples of 5732

Frequently Asked Questions on LCM of 5727 and 5732

1. What is the LCM of 5727 and 5732?

Answer: LCM of 5727 and 5732 is 32827164.

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 5732?

Answer: Factors of 5732 are 1, 2, 4, 1433, 2866, 5732. There are 6 integers that are factors of 5732. The greatest factor of 5732 is 5732.

4. How to Find the LCM of 5727 and 5732?

Answer:

Least Common Multiple of 5727 and 5732 = 32827164

Step 1: Find the prime factorization of 5727

5727 = 3 x 23 x 83

Step 2: Find the prime factorization of 5732

5732 = 2 x 2 x 1433

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

LCM = 32827164 = 2 x 2 x 3 x 23 x 83 x 1433

Step 4: Therefore, the least common multiple of 5727 and 5732 is 32827164.