Least Common Multiple of 58785 and 58789

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

• Least Common Multiple of 58785 and 58789 by Prime method
• Least Common Multiple of 58785 and 58789 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 58785 and 58789. First we will calculate the prime factors of 58785 and 58789.

Prime Factorization of 58785

Prime factors of 58785 are 3, 5,3919. Prime factorization of 58785 in exponential form is:

58785 = 3¹×5¹×3919¹

Prime Factorization of 58789

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

58789 = 58789¹

Now multiplying the highest exponent prime factors to calculate the LCM of 58785 and 58789.

LCM(58785,58789) = 3¹×5¹×3919¹×58789¹
LCM(58785,58789) = 3455911365

Factors of 58785

List of positive integer factors of 58785 that divides 58785 without a remainder.

1, 3, 5, 15, 3919, 11757, 19595, 58785

Factors of 58789

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

1, 58789

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58785 and 58789, than apply into the LCM equation.

GCF(58785,58789) = 1
LCM(58785,58789) = ( 58785 × 58789) / 1
LCM(58785,58789) = 3455911365 / 1
LCM(58785,58789) = 3455911365

(i) The LCM of 58789 and 58785 is associative

LCM of 58785 and 58789 = LCM of 58789 and 58785

1. What is the LCM of 58785 and 58789?

Answer: LCM of 58785 and 58789 is 3455911365.

2. What are the Factors of 58785?

Answer: Factors of 58785 are 1, 3, 5, 15, 3919, 11757, 19595, 58785. There are 8 integers that are factors of 58785. The greatest factor of 58785 is 58785.

3. 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.

4. How to Find the LCM of 58785 and 58789?

Answer:

Least Common Multiple of 58785 and 58789 = 3455911365

Step 1: Find the prime factorization of 58785

58785 = 3 x 5 x 3919

Step 2: Find the prime factorization of 58789

58789 = 58789

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

LCM = 3455911365 = 3 x 5 x 3919 x 58789

Step 4: Therefore, the least common multiple of 58785 and 58789 is 3455911365.