Least Common Multiple of 6704 and 6710

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 6710 the smallest integer that is 22491920 that is divisible by both numbers.

Least Common Multiple (LCM) of 6704 and 6710 is 22491920.

LCM(6704,6710) = 22491920

LCM of 6704 and 6710

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

LCM of:
and

Least Common Multiple of 6704 and 6710

LCM of 6704 and 6710 is 22491920

Least common multiple can be found by multiplying the highest exponent prime factors of 6704 and 6710. First we will calculate the prime factors of 6704 and 6710.

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 6710


2 6710
5 3355
11 671
61 61
1

Prime factors of 6710 are 2, 5, 11,61. Prime factorization of 6710 in exponential form is:

6710 = 21×51×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6704 and 6710.

LCM(6704,6710) = 24×51×111×611×4191
LCM(6704,6710) = 22491920

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 6710

List of positive integer factors of 6710 that divides 6710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710

Least Common Multiple of 6704 and 6710 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 6710, than apply into the LCM equation.

GCF(6704,6710) = 2
LCM(6704,6710) = ( 6704 × 6710) / 2
LCM(6704,6710) = 44983840 / 2
LCM(6704,6710) = 22491920

Properties of LCM 6704 and 6710

(i) The LCM of 6710 and 6704 is associative

LCM of 6704 and 6710 = LCM of 6710 and 6704

Related Least Common Multiples of 6704

Related Least Common Multiples of 6710

Frequently Asked Questions on LCM of 6704 and 6710

1. What is the LCM of 6704 and 6710?

Answer: LCM of 6704 and 6710 is 22491920.

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 6710?

Answer: Factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710. There are 16 integers that are factors of 6710. The greatest factor of 6710 is 6710.

4. How to Find the LCM of 6704 and 6710?

Answer:

Least Common Multiple of 6704 and 6710 = 22491920

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 6710

6710 = 2 x 5 x 11 x 61

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

LCM = 22491920 = 2 x 2 x 2 x 2 x 5 x 11 x 61 x 419

Step 4: Therefore, the least common multiple of 6704 and 6710 is 22491920.