Least Common Multiple of 6708 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 6708 and 6716 the smallest integer that is 11262732 that is divisible by both numbers.

Least Common Multiple (LCM) of 6708 and 6716 is 11262732.

LCM(6708,6716) = 11262732

LCM of 6708 and 6716

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

LCM of:
and

Least Common Multiple of 6708 and 6716

LCM of 6708 and 6716 is 11262732

Least common multiple can be found by multiplying the highest exponent prime factors of 6708 and 6716. First we will calculate the prime factors of 6708 and 6716.

Prime Factorization of 6708


2 6708
2 3354
3 1677
13 559
43 43
1

Prime factors of 6708 are 2, 3, 13,43. Prime factorization of 6708 in exponential form is:

6708 = 22×31×131×431

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 6708 and 6716.

LCM(6708,6716) = 22×31×131×231×431×731
LCM(6708,6716) = 11262732

Factors of 6708

List of positive integer factors of 6708 that divides 6708 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708

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 6708 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 6708 and 6716, than apply into the LCM equation.

GCF(6708,6716) = 4
LCM(6708,6716) = ( 6708 × 6716) / 4
LCM(6708,6716) = 45050928 / 4
LCM(6708,6716) = 11262732

Properties of LCM 6708 and 6716

(i) The LCM of 6716 and 6708 is associative

LCM of 6708 and 6716 = LCM of 6716 and 6708

Related Least Common Multiples of 6708

Related Least Common Multiples of 6716

Frequently Asked Questions on LCM of 6708 and 6716

1. What is the LCM of 6708 and 6716?

Answer: LCM of 6708 and 6716 is 11262732.

2. What are the Factors of 6708?

Answer: Factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708. There are 24 integers that are factors of 6708. The greatest factor of 6708 is 6708.

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 6708 and 6716?

Answer:

Least Common Multiple of 6708 and 6716 = 11262732

Step 1: Find the prime factorization of 6708

6708 = 2 x 2 x 3 x 13 x 43

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 = 11262732 = 2 x 2 x 3 x 13 x 23 x 43 x 73

Step 4: Therefore, the least common multiple of 6708 and 6716 is 11262732.