Least Common Multiple of 6711 and 6716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6711 and 6716 the smallest integer that is 45071076 that is divisible by both numbers.

Least Common Multiple (LCM) of 6711 and 6716 is 45071076.

LCM(6711,6716) = 45071076

LCM of 6711 and 6716

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

LCM of:
and

Least Common Multiple of 6711 and 6716

LCM of 6711 and 6716 is 45071076

Least common multiple can be found by multiplying the highest exponent prime factors of 6711 and 6716. First we will calculate the prime factors of 6711 and 6716.

Prime Factorization of 6711


3 6711
2237 2237
1

Prime factors of 6711 are 3,2237. Prime factorization of 6711 in exponential form is:

6711 = 31×22371

Prime Factorization of 6716


2 6716
2 3358
23 1679
73 73
1

Prime factors of 6716 are 2, 23,73. Prime factorization of 6716 in exponential form is:

6716 = 22×231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6711 and 6716.

LCM(6711,6716) = 22×31×231×731×22371
LCM(6711,6716) = 45071076

Factors of 6711

List of positive integer factors of 6711 that divides 6711 without a remainder.

1, 3, 2237, 6711

Factors of 6716

List of positive integer factors of 6716 that divides 6716 without a remainder.

1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716

Least Common Multiple of 6711 and 6716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6711 and 6716, than apply into the LCM equation.

GCF(6711,6716) = 1
LCM(6711,6716) = ( 6711 × 6716) / 1
LCM(6711,6716) = 45071076 / 1
LCM(6711,6716) = 45071076

Properties of LCM 6711 and 6716

(i) The LCM of 6716 and 6711 is associative

LCM of 6711 and 6716 = LCM of 6716 and 6711

Related Least Common Multiples of 6711

Related Least Common Multiples of 6716

Frequently Asked Questions on LCM of 6711 and 6716

1. What is the LCM of 6711 and 6716?

Answer: LCM of 6711 and 6716 is 45071076.

2. What are the Factors of 6711?

Answer: Factors of 6711 are 1, 3, 2237, 6711. There are 4 integers that are factors of 6711. The greatest factor of 6711 is 6711.

3. What are the Factors of 6716?

Answer: Factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716. There are 12 integers that are factors of 6716. The greatest factor of 6716 is 6716.

4. How to Find the LCM of 6711 and 6716?

Answer:

Least Common Multiple of 6711 and 6716 = 45071076

Step 1: Find the prime factorization of 6711

6711 = 3 x 2237

Step 2: Find the prime factorization of 6716

6716 = 2 x 2 x 23 x 73

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

LCM = 45071076 = 2 x 2 x 3 x 23 x 73 x 2237

Step 4: Therefore, the least common multiple of 6711 and 6716 is 45071076.