Least Common Multiple of 6696 and 6704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6696 and 6704 the smallest integer that is 5611248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6696 and 6704 is 5611248.

LCM(6696,6704) = 5611248

LCM of 6696 and 6704

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

LCM of:
and

Least Common Multiple of 6696 and 6704

LCM of 6696 and 6704 is 5611248

Least common multiple can be found by multiplying the highest exponent prime factors of 6696 and 6704. First we will calculate the prime factors of 6696 and 6704.

Prime Factorization of 6696


2 6696
2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 6696 are 2, 3,31. Prime factorization of 6696 in exponential form is:

6696 = 23×33×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6696 and 6704.

LCM(6696,6704) = 24×33×311×4191
LCM(6696,6704) = 5611248

Factors of 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696

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

Least Common Multiple of 6696 and 6704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6696 and 6704, than apply into the LCM equation.

GCF(6696,6704) = 8
LCM(6696,6704) = ( 6696 × 6704) / 8
LCM(6696,6704) = 44889984 / 8
LCM(6696,6704) = 5611248

Properties of LCM 6696 and 6704

(i) The LCM of 6704 and 6696 is associative

LCM of 6696 and 6704 = LCM of 6704 and 6696

Related Least Common Multiples of 6696

Related Least Common Multiples of 6704

Frequently Asked Questions on LCM of 6696 and 6704

1. What is the LCM of 6696 and 6704?

Answer: LCM of 6696 and 6704 is 5611248.

2. What are the Factors of 6696?

Answer: Factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696. There are 32 integers that are factors of 6696. The greatest factor of 6696 is 6696.

3. 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.

4. How to Find the LCM of 6696 and 6704?

Answer:

Least Common Multiple of 6696 and 6704 = 5611248

Step 1: Find the prime factorization of 6696

6696 = 2 x 2 x 2 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 6704

6704 = 2 x 2 x 2 x 2 x 419

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

LCM = 5611248 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 31 x 419

Step 4: Therefore, the least common multiple of 6696 and 6704 is 5611248.