Least Common Multiple of 6692 and 6696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6692 and 6696 the smallest integer that is 11202408 that is divisible by both numbers.

Least Common Multiple (LCM) of 6692 and 6696 is 11202408.

LCM(6692,6696) = 11202408

LCM of 6692 and 6696

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

LCM of:
and

Least Common Multiple of 6692 and 6696

LCM of 6692 and 6696 is 11202408

Least common multiple can be found by multiplying the highest exponent prime factors of 6692 and 6696. First we will calculate the prime factors of 6692 and 6696.

Prime Factorization of 6692


2 6692
2 3346
7 1673
239 239
1

Prime factors of 6692 are 2, 7,239. Prime factorization of 6692 in exponential form is:

6692 = 22×71×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6692 and 6696.

LCM(6692,6696) = 23×33×71×311×2391
LCM(6692,6696) = 11202408

Factors of 6692

List of positive integer factors of 6692 that divides 6692 without a remainder.

1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692

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

Least Common Multiple of 6692 and 6696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6692 and 6696, than apply into the LCM equation.

GCF(6692,6696) = 4
LCM(6692,6696) = ( 6692 × 6696) / 4
LCM(6692,6696) = 44809632 / 4
LCM(6692,6696) = 11202408

Properties of LCM 6692 and 6696

(i) The LCM of 6696 and 6692 is associative

LCM of 6692 and 6696 = LCM of 6696 and 6692

Related Least Common Multiples of 6692

Related Least Common Multiples of 6696

Frequently Asked Questions on LCM of 6692 and 6696

1. What is the LCM of 6692 and 6696?

Answer: LCM of 6692 and 6696 is 11202408.

2. What are the Factors of 6692?

Answer: Factors of 6692 are 1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692. There are 12 integers that are factors of 6692. The greatest factor of 6692 is 6692.

3. 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.

4. How to Find the LCM of 6692 and 6696?

Answer:

Least Common Multiple of 6692 and 6696 = 11202408

Step 1: Find the prime factorization of 6692

6692 = 2 x 2 x 7 x 239

Step 2: Find the prime factorization of 6696

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

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

LCM = 11202408 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 31 x 239

Step 4: Therefore, the least common multiple of 6692 and 6696 is 11202408.