Least Common Multiple of 6704 and 6711

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 6711 the smallest integer that is 44990544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6704 and 6711 is 44990544.

LCM(6704,6711) = 44990544

LCM of 6704 and 6711

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

LCM of:
and

Least Common Multiple of 6704 and 6711

LCM of 6704 and 6711 is 44990544

Least common multiple can be found by multiplying the highest exponent prime factors of 6704 and 6711. First we will calculate the prime factors of 6704 and 6711.

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 6711


3 6711
2237 2237
1

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

6711 = 31×22371

Now multiplying the highest exponent prime factors to calculate the LCM of 6704 and 6711.

LCM(6704,6711) = 24×31×4191×22371
LCM(6704,6711) = 44990544

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 6711

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

1, 3, 2237, 6711

Least Common Multiple of 6704 and 6711 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 6711, than apply into the LCM equation.

GCF(6704,6711) = 1
LCM(6704,6711) = ( 6704 × 6711) / 1
LCM(6704,6711) = 44990544 / 1
LCM(6704,6711) = 44990544

Properties of LCM 6704 and 6711

(i) The LCM of 6711 and 6704 is associative

LCM of 6704 and 6711 = LCM of 6711 and 6704

Related Least Common Multiples of 6704

Related Least Common Multiples of 6711

Frequently Asked Questions on LCM of 6704 and 6711

1. What is the LCM of 6704 and 6711?

Answer: LCM of 6704 and 6711 is 44990544.

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 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.

4. How to Find the LCM of 6704 and 6711?

Answer:

Least Common Multiple of 6704 and 6711 = 44990544

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 6711

6711 = 3 x 2237

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

LCM = 44990544 = 2 x 2 x 2 x 2 x 3 x 419 x 2237

Step 4: Therefore, the least common multiple of 6704 and 6711 is 44990544.