Least Common Multiple of 6704 and 6712

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 6712 the smallest integer that is 5624656 that is divisible by both numbers.

Least Common Multiple (LCM) of 6704 and 6712 is 5624656.

LCM(6704,6712) = 5624656

LCM of 6704 and 6712

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

LCM of:
and

Least Common Multiple of 6704 and 6712

LCM of 6704 and 6712 is 5624656

Least common multiple can be found by multiplying the highest exponent prime factors of 6704 and 6712. First we will calculate the prime factors of 6704 and 6712.

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 6712


2 6712
2 3356
2 1678
839 839
1

Prime factors of 6712 are 2,839. Prime factorization of 6712 in exponential form is:

6712 = 23×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 6704 and 6712.

LCM(6704,6712) = 24×4191×8391
LCM(6704,6712) = 5624656

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 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1, 2, 4, 8, 839, 1678, 3356, 6712

Least Common Multiple of 6704 and 6712 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 6712, than apply into the LCM equation.

GCF(6704,6712) = 8
LCM(6704,6712) = ( 6704 × 6712) / 8
LCM(6704,6712) = 44997248 / 8
LCM(6704,6712) = 5624656

Properties of LCM 6704 and 6712

(i) The LCM of 6712 and 6704 is associative

LCM of 6704 and 6712 = LCM of 6712 and 6704

Related Least Common Multiples of 6704

Related Least Common Multiples of 6712

Frequently Asked Questions on LCM of 6704 and 6712

1. What is the LCM of 6704 and 6712?

Answer: LCM of 6704 and 6712 is 5624656.

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 6712?

Answer: Factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712. There are 8 integers that are factors of 6712. The greatest factor of 6712 is 6712.

4. How to Find the LCM of 6704 and 6712?

Answer:

Least Common Multiple of 6704 and 6712 = 5624656

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 6712

6712 = 2 x 2 x 2 x 839

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

LCM = 5624656 = 2 x 2 x 2 x 2 x 419 x 839

Step 4: Therefore, the least common multiple of 6704 and 6712 is 5624656.