Least Common Multiple of 6704 and 6709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6704 and 6709 the smallest integer that is 44977136 that is divisible by both numbers.

Least Common Multiple (LCM) of 6704 and 6709 is 44977136.

LCM(6704,6709) = 44977136

LCM of 6704 and 6709

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

LCM of:
and

Least Common Multiple of 6704 and 6709

LCM of 6704 and 6709 is 44977136

Least common multiple can be found by multiplying the highest exponent prime factors of 6704 and 6709. First we will calculate the prime factors of 6704 and 6709.

Prime Factorization of 6704


2 6704
2 3352
2 1676
2 838
419 419
1

Prime factors of 6704 are 2,419. Prime factorization of 6704 in exponential form is:

6704 = 24×4191

Prime Factorization of 6709


6709 6709
1

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

6709 = 67091

Now multiplying the highest exponent prime factors to calculate the LCM of 6704 and 6709.

LCM(6704,6709) = 24×4191×67091
LCM(6704,6709) = 44977136

Factors of 6704

List of positive integer factors of 6704 that divides 6704 without a remainder.

1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704

Factors of 6709

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

1, 6709

Least Common Multiple of 6704 and 6709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6704 and 6709, than apply into the LCM equation.

GCF(6704,6709) = 1
LCM(6704,6709) = ( 6704 × 6709) / 1
LCM(6704,6709) = 44977136 / 1
LCM(6704,6709) = 44977136

Properties of LCM 6704 and 6709

(i) The LCM of 6709 and 6704 is associative

LCM of 6704 and 6709 = LCM of 6709 and 6704

Related Least Common Multiples of 6704

Related Least Common Multiples of 6709

Frequently Asked Questions on LCM of 6704 and 6709

1. What is the LCM of 6704 and 6709?

Answer: LCM of 6704 and 6709 is 44977136.

2. What are the Factors of 6704?

Answer: Factors of 6704 are 1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704. There are 10 integers that are factors of 6704. The greatest factor of 6704 is 6704.

3. 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.

4. How to Find the LCM of 6704 and 6709?

Answer:

Least Common Multiple of 6704 and 6709 = 44977136

Step 1: Find the prime factorization of 6704

6704 = 2 x 2 x 2 x 2 x 419

Step 2: Find the prime factorization of 6709

6709 = 6709

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

LCM = 44977136 = 2 x 2 x 2 x 2 x 419 x 6709

Step 4: Therefore, the least common multiple of 6704 and 6709 is 44977136.