Least Common Multiple of 6778 and 6783

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

• Least Common Multiple of 6778 and 6783 by Prime method
• Least Common Multiple of 6778 and 6783 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6778 and 6783. First we will calculate the prime factors of 6778 and 6783.

Prime Factorization of 6778

Prime factors of 6778 are 2,3389. Prime factorization of 6778 in exponential form is:

6778 = 2¹×3389¹

Prime Factorization of 6783

Prime factors of 6783 are 3, 7, 17,19. Prime factorization of 6783 in exponential form is:

6783 = 3¹×7¹×17¹×19¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6778 and 6783.

LCM(6778,6783) = 2¹×3¹×7¹×17¹×19¹×3389¹
LCM(6778,6783) = 45975174

Factors of 6778

List of positive integer factors of 6778 that divides 6778 without a remainder.

1, 2, 3389, 6778

Factors of 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6778 and 6783, than apply into the LCM equation.

GCF(6778,6783) = 1
LCM(6778,6783) = ( 6778 × 6783) / 1
LCM(6778,6783) = 45975174 / 1
LCM(6778,6783) = 45975174

(i) The LCM of 6783 and 6778 is associative

LCM of 6778 and 6783 = LCM of 6783 and 6778

1. What is the LCM of 6778 and 6783?

Answer: LCM of 6778 and 6783 is 45975174.

2. What are the Factors of 6778?

Answer: Factors of 6778 are 1, 2, 3389, 6778. There are 4 integers that are factors of 6778. The greatest factor of 6778 is 6778.

3. What are the Factors of 6783?

Answer: Factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783. There are 16 integers that are factors of 6783. The greatest factor of 6783 is 6783.

4. How to Find the LCM of 6778 and 6783?

Answer:

Least Common Multiple of 6778 and 6783 = 45975174

Step 1: Find the prime factorization of 6778

6778 = 2 x 3389

Step 2: Find the prime factorization of 6783

6783 = 3 x 7 x 17 x 19

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

LCM = 45975174 = 2 x 3 x 7 x 17 x 19 x 3389

Step 4: Therefore, the least common multiple of 6778 and 6783 is 45975174.