Least Common Multiple of 6684 and 6689

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 6689 the smallest integer that is 44709276 that is divisible by both numbers.

Least Common Multiple (LCM) of 6684 and 6689 is 44709276.

LCM(6684,6689) = 44709276

LCM of 6684 and 6689

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

LCM of:
and

Least Common Multiple of 6684 and 6689

LCM of 6684 and 6689 is 44709276

Least common multiple can be found by multiplying the highest exponent prime factors of 6684 and 6689. First we will calculate the prime factors of 6684 and 6689.

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 6689


6689 6689
1

Prime factors of 6689 are 6689. Prime factorization of 6689 in exponential form is:

6689 = 66891

Now multiplying the highest exponent prime factors to calculate the LCM of 6684 and 6689.

LCM(6684,6689) = 22×31×5571×66891
LCM(6684,6689) = 44709276

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 6689

List of positive integer factors of 6689 that divides 6689 without a remainder.

1, 6689

Least Common Multiple of 6684 and 6689 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 6689, than apply into the LCM equation.

GCF(6684,6689) = 1
LCM(6684,6689) = ( 6684 × 6689) / 1
LCM(6684,6689) = 44709276 / 1
LCM(6684,6689) = 44709276

Properties of LCM 6684 and 6689

(i) The LCM of 6689 and 6684 is associative

LCM of 6684 and 6689 = LCM of 6689 and 6684

Related Least Common Multiples of 6684

Related Least Common Multiples of 6689

Frequently Asked Questions on LCM of 6684 and 6689

1. What is the LCM of 6684 and 6689?

Answer: LCM of 6684 and 6689 is 44709276.

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 6689?

Answer: Factors of 6689 are 1, 6689. There are 2 integers that are factors of 6689. The greatest factor of 6689 is 6689.

4. How to Find the LCM of 6684 and 6689?

Answer:

Least Common Multiple of 6684 and 6689 = 44709276

Step 1: Find the prime factorization of 6684

6684 = 2 x 2 x 3 x 557

Step 2: Find the prime factorization of 6689

6689 = 6689

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

LCM = 44709276 = 2 x 2 x 3 x 557 x 6689

Step 4: Therefore, the least common multiple of 6684 and 6689 is 44709276.