Least Common Multiple of 68781 and 68789

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

• Least Common Multiple of 68781 and 68789 by Prime method
• Least Common Multiple of 68781 and 68789 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68781 and 68789. First we will calculate the prime factors of 68781 and 68789.

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 68789

Prime factors of 68789 are 7, 31,317. Prime factorization of 68789 in exponential form is:

68789 = 7¹×31¹×317¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68781 and 68789.

LCM(68781,68789) = 3¹×7¹×31¹×101¹×227¹×317¹
LCM(68781,68789) = 4731376209

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 68789

List of positive integer factors of 68789 that divides 68789 without a remainder.

1, 7, 31, 217, 317, 2219, 9827, 68789

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68781 and 68789, than apply into the LCM equation.

GCF(68781,68789) = 1
LCM(68781,68789) = ( 68781 × 68789) / 1
LCM(68781,68789) = 4731376209 / 1
LCM(68781,68789) = 4731376209

(i) The LCM of 68789 and 68781 is associative

LCM of 68781 and 68789 = LCM of 68789 and 68781

1. What is the LCM of 68781 and 68789?

Answer: LCM of 68781 and 68789 is 4731376209.

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 68789?

Answer: Factors of 68789 are 1, 7, 31, 217, 317, 2219, 9827, 68789. There are 8 integers that are factors of 68789. The greatest factor of 68789 is 68789.

4. How to Find the LCM of 68781 and 68789?

Answer:

Least Common Multiple of 68781 and 68789 = 4731376209

Step 1: Find the prime factorization of 68781

68781 = 3 x 101 x 227

Step 2: Find the prime factorization of 68789

68789 = 7 x 31 x 317

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

LCM = 4731376209 = 3 x 7 x 31 x 101 x 227 x 317

Step 4: Therefore, the least common multiple of 68781 and 68789 is 4731376209.