Least Common Multiple of 6684 and 6690

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 6690 the smallest integer that is 7452660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6684 and 6690 is 7452660.

LCM(6684,6690) = 7452660

LCM of 6684 and 6690

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

LCM of:
and

Least Common Multiple of 6684 and 6690

LCM of 6684 and 6690 is 7452660

Least common multiple can be found by multiplying the highest exponent prime factors of 6684 and 6690. First we will calculate the prime factors of 6684 and 6690.

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 6690


2 6690
3 3345
5 1115
223 223
1

Prime factors of 6690 are 2, 3, 5,223. Prime factorization of 6690 in exponential form is:

6690 = 21×31×51×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 6684 and 6690.

LCM(6684,6690) = 22×31×51×2231×5571
LCM(6684,6690) = 7452660

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 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690

Least Common Multiple of 6684 and 6690 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 6690, than apply into the LCM equation.

GCF(6684,6690) = 6
LCM(6684,6690) = ( 6684 × 6690) / 6
LCM(6684,6690) = 44715960 / 6
LCM(6684,6690) = 7452660

Properties of LCM 6684 and 6690

(i) The LCM of 6690 and 6684 is associative

LCM of 6684 and 6690 = LCM of 6690 and 6684

Related Least Common Multiples of 6684

Related Least Common Multiples of 6690

Frequently Asked Questions on LCM of 6684 and 6690

1. What is the LCM of 6684 and 6690?

Answer: LCM of 6684 and 6690 is 7452660.

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 6690?

Answer: Factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690. There are 16 integers that are factors of 6690. The greatest factor of 6690 is 6690.

4. How to Find the LCM of 6684 and 6690?

Answer:

Least Common Multiple of 6684 and 6690 = 7452660

Step 1: Find the prime factorization of 6684

6684 = 2 x 2 x 3 x 557

Step 2: Find the prime factorization of 6690

6690 = 2 x 3 x 5 x 223

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

LCM = 7452660 = 2 x 2 x 3 x 5 x 223 x 557

Step 4: Therefore, the least common multiple of 6684 and 6690 is 7452660.