Least Common Multiple of 6709 and 6713

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 6713 the smallest integer that is 45037517 that is divisible by both numbers.

Least Common Multiple (LCM) of 6709 and 6713 is 45037517.

LCM(6709,6713) = 45037517

LCM of 6709 and 6713

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

LCM of:
and

Least Common Multiple of 6709 and 6713

LCM of 6709 and 6713 is 45037517

Least common multiple can be found by multiplying the highest exponent prime factors of 6709 and 6713. First we will calculate the prime factors of 6709 and 6713.

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 6713


7 6713
7 959
137 137
1

Prime factors of 6713 are 7,137. Prime factorization of 6713 in exponential form is:

6713 = 72×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6709 and 6713.

LCM(6709,6713) = 72×1371×67091
LCM(6709,6713) = 45037517

Factors of 6709

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

1, 6709

Factors of 6713

List of positive integer factors of 6713 that divides 6713 without a remainder.

1, 7, 49, 137, 959, 6713

Least Common Multiple of 6709 and 6713 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 6713, than apply into the LCM equation.

GCF(6709,6713) = 1
LCM(6709,6713) = ( 6709 × 6713) / 1
LCM(6709,6713) = 45037517 / 1
LCM(6709,6713) = 45037517

Properties of LCM 6709 and 6713

(i) The LCM of 6713 and 6709 is associative

LCM of 6709 and 6713 = LCM of 6713 and 6709

Related Least Common Multiples of 6709

Related Least Common Multiples of 6713

Frequently Asked Questions on LCM of 6709 and 6713

1. What is the LCM of 6709 and 6713?

Answer: LCM of 6709 and 6713 is 45037517.

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 6713?

Answer: Factors of 6713 are 1, 7, 49, 137, 959, 6713. There are 6 integers that are factors of 6713. The greatest factor of 6713 is 6713.

4. How to Find the LCM of 6709 and 6713?

Answer:

Least Common Multiple of 6709 and 6713 = 45037517

Step 1: Find the prime factorization of 6709

6709 = 6709

Step 2: Find the prime factorization of 6713

6713 = 7 x 7 x 137

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

LCM = 45037517 = 7 x 7 x 137 x 6709

Step 4: Therefore, the least common multiple of 6709 and 6713 is 45037517.