Least Common Multiple of 68781 and 68787

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

• Least Common Multiple of 68781 and 68787 by Prime method
• Least Common Multiple of 68781 and 68787 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68781 and 68787. First we will calculate the prime factors of 68781 and 68787.

Prime Factorization of 68781

Prime factors of 68781 are 3, 101,227. Prime factorization of 68781 in exponential form is:

68781 = 3¹×101¹×227¹

Prime Factorization of 68787

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

68787 = 3²×7643¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68781 and 68787.

LCM(68781,68787) = 3²×101¹×227¹×7643¹
LCM(68781,68787) = 1577079549

Factors of 68781

List of positive integer factors of 68781 that divides 68781 without a remainder.

1, 3, 101, 227, 303, 681, 22927, 68781

Factors of 68787

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

1, 3, 9, 7643, 22929, 68787

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68781 and 68787, than apply into the LCM equation.

GCF(68781,68787) = 3
LCM(68781,68787) = ( 68781 × 68787) / 3
LCM(68781,68787) = 4731238647 / 3
LCM(68781,68787) = 1577079549

(i) The LCM of 68787 and 68781 is associative

LCM of 68781 and 68787 = LCM of 68787 and 68781

1. What is the LCM of 68781 and 68787?

Answer: LCM of 68781 and 68787 is 1577079549.

2. What are the Factors of 68781?

Answer: Factors of 68781 are 1, 3, 101, 227, 303, 681, 22927, 68781. There are 8 integers that are factors of 68781. The greatest factor of 68781 is 68781.

3. 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.

4. How to Find the LCM of 68781 and 68787?

Answer:

Least Common Multiple of 68781 and 68787 = 1577079549

Step 1: Find the prime factorization of 68781

68781 = 3 x 101 x 227

Step 2: Find the prime factorization of 68787

68787 = 3 x 3 x 7643

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

LCM = 1577079549 = 3 x 3 x 101 x 227 x 7643

Step 4: Therefore, the least common multiple of 68781 and 68787 is 1577079549.