Least Common Multiple of 6709 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 6709 and 6716 the smallest integer that is 45057644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6709 and 6716 is 45057644.

LCM(6709,6716) = 45057644

LCM of 6709 and 6716

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

LCM of:
and

Least Common Multiple of 6709 and 6716

LCM of 6709 and 6716 is 45057644

Least common multiple can be found by multiplying the highest exponent prime factors of 6709 and 6716. First we will calculate the prime factors of 6709 and 6716.

Prime Factorization of 6709


6709 6709
1

Prime factors of 6709 are 6709. Prime factorization of 6709 in exponential form is:

6709 = 67091

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 6709 and 6716.

LCM(6709,6716) = 22×231×731×67091
LCM(6709,6716) = 45057644

Factors of 6709

List of positive integer factors of 6709 that divides 6709 without a remainder.

1, 6709

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 6709 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 6709 and 6716, than apply into the LCM equation.

GCF(6709,6716) = 1
LCM(6709,6716) = ( 6709 × 6716) / 1
LCM(6709,6716) = 45057644 / 1
LCM(6709,6716) = 45057644

Properties of LCM 6709 and 6716

(i) The LCM of 6716 and 6709 is associative

LCM of 6709 and 6716 = LCM of 6716 and 6709

Related Least Common Multiples of 6709

Related Least Common Multiples of 6716

Frequently Asked Questions on LCM of 6709 and 6716

1. What is the LCM of 6709 and 6716?

Answer: LCM of 6709 and 6716 is 45057644.

2. What are the Factors of 6709?

Answer: Factors of 6709 are 1, 6709. There are 2 integers that are factors of 6709. The greatest factor of 6709 is 6709.

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 6709 and 6716?

Answer:

Least Common Multiple of 6709 and 6716 = 45057644

Step 1: Find the prime factorization of 6709

6709 = 6709

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 = 45057644 = 2 x 2 x 23 x 73 x 6709

Step 4: Therefore, the least common multiple of 6709 and 6716 is 45057644.