Least Common Multiple of 5711 and 5717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5711 and 5717 the smallest integer that is 32649787 that is divisible by both numbers.

Least Common Multiple (LCM) of 5711 and 5717 is 32649787.

LCM(5711,5717) = 32649787

LCM of 5711 and 5717

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

LCM of:
and

Least Common Multiple of 5711 and 5717

LCM of 5711 and 5717 is 32649787

Least common multiple can be found by multiplying the highest exponent prime factors of 5711 and 5717. First we will calculate the prime factors of 5711 and 5717.

Prime Factorization of 5711


5711 5711
1

Prime factors of 5711 are 5711. Prime factorization of 5711 in exponential form is:

5711 = 57111

Prime Factorization of 5717


5717 5717
1

Prime factors of 5717 are 5717. Prime factorization of 5717 in exponential form is:

5717 = 57171

Now multiplying the highest exponent prime factors to calculate the LCM of 5711 and 5717.

LCM(5711,5717) = 57111×57171
LCM(5711,5717) = 32649787

Factors of 5711

List of positive integer factors of 5711 that divides 5711 without a remainder.

1, 5711

Factors of 5717

List of positive integer factors of 5717 that divides 5717 without a remainder.

1, 5717

Least Common Multiple of 5711 and 5717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5711 and 5717, than apply into the LCM equation.

GCF(5711,5717) = 1
LCM(5711,5717) = ( 5711 × 5717) / 1
LCM(5711,5717) = 32649787 / 1
LCM(5711,5717) = 32649787

Properties of LCM 5711 and 5717

(i) The LCM of 5717 and 5711 is associative

LCM of 5711 and 5717 = LCM of 5717 and 5711

Related Least Common Multiples of 5711

Related Least Common Multiples of 5717

Frequently Asked Questions on LCM of 5711 and 5717

1. What is the LCM of 5711 and 5717?

Answer: LCM of 5711 and 5717 is 32649787.

2. What are the Factors of 5711?

Answer: Factors of 5711 are 1, 5711. There are 2 integers that are factors of 5711. The greatest factor of 5711 is 5711.

3. What are the Factors of 5717?

Answer: Factors of 5717 are 1, 5717. There are 2 integers that are factors of 5717. The greatest factor of 5717 is 5717.

4. How to Find the LCM of 5711 and 5717?

Answer:

Least Common Multiple of 5711 and 5717 = 32649787

Step 1: Find the prime factorization of 5711

5711 = 5711

Step 2: Find the prime factorization of 5717

5717 = 5717

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

LCM = 32649787 = 5711 x 5717

Step 4: Therefore, the least common multiple of 5711 and 5717 is 32649787.