Least Common Multiple of 68777 and 68782

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

• Least Common Multiple of 68777 and 68782 by Prime method
• Least Common Multiple of 68777 and 68782 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68777 and 68782. First we will calculate the prime factors of 68777 and 68782.

Prime Factorization of 68777

Prime factors of 68777 are 68777. Prime factorization of 68777 in exponential form is:

68777 = 68777¹

Prime Factorization of 68782

Prime factors of 68782 are 2, 7,17. Prime factorization of 68782 in exponential form is:

68782 = 2¹×7¹×17³

Now multiplying the highest exponent prime factors to calculate the LCM of 68777 and 68782.

LCM(68777,68782) = 2¹×7¹×17³×68777¹
LCM(68777,68782) = 4730619614

Factors of 68777

List of positive integer factors of 68777 that divides 68777 without a remainder.

1, 68777

Factors of 68782

List of positive integer factors of 68782 that divides 68782 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391, 68782

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68777 and 68782, than apply into the LCM equation.

GCF(68777,68782) = 1
LCM(68777,68782) = ( 68777 × 68782) / 1
LCM(68777,68782) = 4730619614 / 1
LCM(68777,68782) = 4730619614

(i) The LCM of 68782 and 68777 is associative

LCM of 68777 and 68782 = LCM of 68782 and 68777

1. What is the LCM of 68777 and 68782?

Answer: LCM of 68777 and 68782 is 4730619614.

2. What are the Factors of 68777?

Answer: Factors of 68777 are 1, 68777. There are 2 integers that are factors of 68777. The greatest factor of 68777 is 68777.

3. What are the Factors of 68782?

Answer: Factors of 68782 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391, 68782. There are 16 integers that are factors of 68782. The greatest factor of 68782 is 68782.

4. How to Find the LCM of 68777 and 68782?

Answer:

Least Common Multiple of 68777 and 68782 = 4730619614

Step 1: Find the prime factorization of 68777

68777 = 68777

Step 2: Find the prime factorization of 68782

68782 = 2 x 7 x 17 x 17 x 17

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

LCM = 4730619614 = 2 x 7 x 17 x 17 x 17 x 68777

Step 4: Therefore, the least common multiple of 68777 and 68782 is 4730619614.