Least Common Multiple of 68787 and 68794

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

• Least Common Multiple of 68787 and 68794 by Prime method
• Least Common Multiple of 68787 and 68794 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68787 and 68794. First we will calculate the prime factors of 68787 and 68794.

Prime Factorization of 68787

Prime factors of 68787 are 3,7643. Prime factorization of 68787 in exponential form is:

68787 = 3²×7643¹

Prime Factorization of 68794

Prime factors of 68794 are 2, 11, 53,59. Prime factorization of 68794 in exponential form is:

68794 = 2¹×11¹×53¹×59¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68787 and 68794.

LCM(68787,68794) = 2¹×3²×11¹×53¹×59¹×7643¹
LCM(68787,68794) = 4732132878

Factors of 68787

List of positive integer factors of 68787 that divides 68787 without a remainder.

1, 3, 9, 7643, 22929, 68787

Factors of 68794

List of positive integer factors of 68794 that divides 68794 without a remainder.

1, 2, 11, 22, 53, 59, 106, 118, 583, 649, 1166, 1298, 3127, 6254, 34397, 68794

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68787 and 68794, than apply into the LCM equation.

GCF(68787,68794) = 1
LCM(68787,68794) = ( 68787 × 68794) / 1
LCM(68787,68794) = 4732132878 / 1
LCM(68787,68794) = 4732132878

(i) The LCM of 68794 and 68787 is associative

LCM of 68787 and 68794 = LCM of 68794 and 68787

1. What is the LCM of 68787 and 68794?

Answer: LCM of 68787 and 68794 is 4732132878.

2. What are the Factors of 68787?

Answer: Factors of 68787 are 1, 3, 9, 7643, 22929, 68787. There are 6 integers that are factors of 68787. The greatest factor of 68787 is 68787.

3. What are the Factors of 68794?

Answer: Factors of 68794 are 1, 2, 11, 22, 53, 59, 106, 118, 583, 649, 1166, 1298, 3127, 6254, 34397, 68794. There are 16 integers that are factors of 68794. The greatest factor of 68794 is 68794.

4. How to Find the LCM of 68787 and 68794?

Answer:

Least Common Multiple of 68787 and 68794 = 4732132878

Step 1: Find the prime factorization of 68787

68787 = 3 x 3 x 7643

Step 2: Find the prime factorization of 68794

68794 = 2 x 11 x 53 x 59

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

LCM = 4732132878 = 2 x 3 x 3 x 11 x 53 x 59 x 7643

Step 4: Therefore, the least common multiple of 68787 and 68794 is 4732132878.