Least Common Multiple of 6684 and 6692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6684 and 6692 the smallest integer that is 11182332 that is divisible by both numbers.

Least Common Multiple (LCM) of 6684 and 6692 is 11182332.

LCM(6684,6692) = 11182332

LCM of 6684 and 6692

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

LCM of:
and

Least Common Multiple of 6684 and 6692

LCM of 6684 and 6692 is 11182332

Least common multiple can be found by multiplying the highest exponent prime factors of 6684 and 6692. First we will calculate the prime factors of 6684 and 6692.

Prime Factorization of 6684


2 6684
2 3342
3 1671
557 557
1

Prime factors of 6684 are 2, 3,557. Prime factorization of 6684 in exponential form is:

6684 = 22×31×5571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6684 and 6692.

LCM(6684,6692) = 22×31×71×2391×5571
LCM(6684,6692) = 11182332

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684

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

Least Common Multiple of 6684 and 6692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6684 and 6692, than apply into the LCM equation.

GCF(6684,6692) = 4
LCM(6684,6692) = ( 6684 × 6692) / 4
LCM(6684,6692) = 44729328 / 4
LCM(6684,6692) = 11182332

Properties of LCM 6684 and 6692

(i) The LCM of 6692 and 6684 is associative

LCM of 6684 and 6692 = LCM of 6692 and 6684

Related Least Common Multiples of 6684

Related Least Common Multiples of 6692

Frequently Asked Questions on LCM of 6684 and 6692

1. What is the LCM of 6684 and 6692?

Answer: LCM of 6684 and 6692 is 11182332.

2. What are the Factors of 6684?

Answer: Factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684. There are 12 integers that are factors of 6684. The greatest factor of 6684 is 6684.

3. 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.

4. How to Find the LCM of 6684 and 6692?

Answer:

Least Common Multiple of 6684 and 6692 = 11182332

Step 1: Find the prime factorization of 6684

6684 = 2 x 2 x 3 x 557

Step 2: Find the prime factorization of 6692

6692 = 2 x 2 x 7 x 239

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

LCM = 11182332 = 2 x 2 x 3 x 7 x 239 x 557

Step 4: Therefore, the least common multiple of 6684 and 6692 is 11182332.