Least Common Multiple of 58789 and 58797

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

• Least Common Multiple of 58789 and 58797 by Prime method
• Least Common Multiple of 58789 and 58797 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 58789 and 58797. First we will calculate the prime factors of 58789 and 58797.

Prime Factorization of 58789

Prime factors of 58789 are 58789. Prime factorization of 58789 in exponential form is:

58789 = 58789¹

Prime Factorization of 58797

Prime factors of 58797 are 3, 47,139. Prime factorization of 58797 in exponential form is:

58797 = 3²×47¹×139¹

Now multiplying the highest exponent prime factors to calculate the LCM of 58789 and 58797.

LCM(58789,58797) = 3²×47¹×139¹×58789¹
LCM(58789,58797) = 3456616833

Factors of 58789

List of positive integer factors of 58789 that divides 58789 without a remainder.

1, 58789

Factors of 58797

List of positive integer factors of 58797 that divides 58797 without a remainder.

1, 3, 9, 47, 139, 141, 417, 423, 1251, 6533, 19599, 58797

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58789 and 58797, than apply into the LCM equation.

GCF(58789,58797) = 1
LCM(58789,58797) = ( 58789 × 58797) / 1
LCM(58789,58797) = 3456616833 / 1
LCM(58789,58797) = 3456616833

(i) The LCM of 58797 and 58789 is associative

LCM of 58789 and 58797 = LCM of 58797 and 58789

1. What is the LCM of 58789 and 58797?

Answer: LCM of 58789 and 58797 is 3456616833.

2. What are the Factors of 58789?

Answer: Factors of 58789 are 1, 58789. There are 2 integers that are factors of 58789. The greatest factor of 58789 is 58789.

3. What are the Factors of 58797?

Answer: Factors of 58797 are 1, 3, 9, 47, 139, 141, 417, 423, 1251, 6533, 19599, 58797. There are 12 integers that are factors of 58797. The greatest factor of 58797 is 58797.

4. How to Find the LCM of 58789 and 58797?

Answer:

Least Common Multiple of 58789 and 58797 = 3456616833

Step 1: Find the prime factorization of 58789

58789 = 58789

Step 2: Find the prime factorization of 58797

58797 = 3 x 3 x 47 x 139

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

LCM = 3456616833 = 3 x 3 x 47 x 139 x 58789

Step 4: Therefore, the least common multiple of 58789 and 58797 is 3456616833.