Least Common Multiple of 68781 and 68785

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

• Least Common Multiple of 68781 and 68785 by Prime method
• Least Common Multiple of 68781 and 68785 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68781 and 68785. First we will calculate the prime factors of 68781 and 68785.

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 68785

Prime factors of 68785 are 5,13757. Prime factorization of 68785 in exponential form is:

68785 = 5¹×13757¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68781 and 68785.

LCM(68781,68785) = 3¹×5¹×101¹×227¹×13757¹
LCM(68781,68785) = 4731101085

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 68785

List of positive integer factors of 68785 that divides 68785 without a remainder.

1, 5, 13757, 68785

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68781 and 68785, than apply into the LCM equation.

GCF(68781,68785) = 1
LCM(68781,68785) = ( 68781 × 68785) / 1
LCM(68781,68785) = 4731101085 / 1
LCM(68781,68785) = 4731101085

(i) The LCM of 68785 and 68781 is associative

LCM of 68781 and 68785 = LCM of 68785 and 68781

1. What is the LCM of 68781 and 68785?

Answer: LCM of 68781 and 68785 is 4731101085.

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 68785?

Answer: Factors of 68785 are 1, 5, 13757, 68785. There are 4 integers that are factors of 68785. The greatest factor of 68785 is 68785.

4. How to Find the LCM of 68781 and 68785?

Answer:

Least Common Multiple of 68781 and 68785 = 4731101085

Step 1: Find the prime factorization of 68781

68781 = 3 x 101 x 227

Step 2: Find the prime factorization of 68785

68785 = 5 x 13757

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

LCM = 4731101085 = 3 x 5 x 101 x 227 x 13757

Step 4: Therefore, the least common multiple of 68781 and 68785 is 4731101085.