Least Common Multiple of 6673 and 6678

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

• Least Common Multiple of 6673 and 6678 by Prime method
• Least Common Multiple of 6673 and 6678 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6673 and 6678. First we will calculate the prime factors of 6673 and 6678.

Prime Factorization of 6673

Prime factors of 6673 are 6673. Prime factorization of 6673 in exponential form is:

6673 = 6673¹

Prime Factorization of 6678

Prime factors of 6678 are 2, 3, 7,53. Prime factorization of 6678 in exponential form is:

6678 = 2¹×3²×7¹×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6673 and 6678.

LCM(6673,6678) = 2¹×3²×7¹×53¹×6673¹
LCM(6673,6678) = 44562294

Factors of 6673

List of positive integer factors of 6673 that divides 6673 without a remainder.

1, 6673

Factors of 6678

List of positive integer factors of 6678 that divides 6678 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6673 and 6678, than apply into the LCM equation.

GCF(6673,6678) = 1
LCM(6673,6678) = ( 6673 × 6678) / 1
LCM(6673,6678) = 44562294 / 1
LCM(6673,6678) = 44562294

(i) The LCM of 6678 and 6673 is associative

LCM of 6673 and 6678 = LCM of 6678 and 6673

1. What is the LCM of 6673 and 6678?

Answer: LCM of 6673 and 6678 is 44562294.

2. What are the Factors of 6673?

Answer: Factors of 6673 are 1, 6673. There are 2 integers that are factors of 6673. The greatest factor of 6673 is 6673.

3. What are the Factors of 6678?

Answer: Factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678. There are 24 integers that are factors of 6678. The greatest factor of 6678 is 6678.

4. How to Find the LCM of 6673 and 6678?

Answer:

Least Common Multiple of 6673 and 6678 = 44562294

Step 1: Find the prime factorization of 6673

6673 = 6673

Step 2: Find the prime factorization of 6678

6678 = 2 x 3 x 3 x 7 x 53

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

LCM = 44562294 = 2 x 3 x 3 x 7 x 53 x 6673

Step 4: Therefore, the least common multiple of 6673 and 6678 is 44562294.