Least Common Multiple of 68795 and 68799

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

• Least Common Multiple of 68795 and 68799 by Prime method
• Least Common Multiple of 68795 and 68799 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68795 and 68799. First we will calculate the prime factors of 68795 and 68799.

Prime Factorization of 68795

Prime factors of 68795 are 5,13759. Prime factorization of 68795 in exponential form is:

68795 = 5¹×13759¹

Prime Factorization of 68799

Prime factors of 68799 are 3, 17, 19,71. Prime factorization of 68799 in exponential form is:

68799 = 3¹×17¹×19¹×71¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68795 and 68799.

LCM(68795,68799) = 3¹×5¹×17¹×19¹×71¹×13759¹
LCM(68795,68799) = 4733027205

Factors of 68795

List of positive integer factors of 68795 that divides 68795 without a remainder.

1, 5, 13759, 68795

Factors of 68799

List of positive integer factors of 68799 that divides 68799 without a remainder.

1, 3, 17, 19, 51, 57, 71, 213, 323, 969, 1207, 1349, 3621, 4047, 22933, 68799

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68795 and 68799, than apply into the LCM equation.

GCF(68795,68799) = 1
LCM(68795,68799) = ( 68795 × 68799) / 1
LCM(68795,68799) = 4733027205 / 1
LCM(68795,68799) = 4733027205

(i) The LCM of 68799 and 68795 is associative

LCM of 68795 and 68799 = LCM of 68799 and 68795

1. What is the LCM of 68795 and 68799?

Answer: LCM of 68795 and 68799 is 4733027205.

2. What are the Factors of 68795?

Answer: Factors of 68795 are 1, 5, 13759, 68795. There are 4 integers that are factors of 68795. The greatest factor of 68795 is 68795.

3. What are the Factors of 68799?

Answer: Factors of 68799 are 1, 3, 17, 19, 51, 57, 71, 213, 323, 969, 1207, 1349, 3621, 4047, 22933, 68799. There are 16 integers that are factors of 68799. The greatest factor of 68799 is 68799.

4. How to Find the LCM of 68795 and 68799?

Answer:

Least Common Multiple of 68795 and 68799 = 4733027205

Step 1: Find the prime factorization of 68795

68795 = 5 x 13759

Step 2: Find the prime factorization of 68799

68799 = 3 x 17 x 19 x 71

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

LCM = 4733027205 = 3 x 5 x 17 x 19 x 71 x 13759

Step 4: Therefore, the least common multiple of 68795 and 68799 is 4733027205.