Least Common Multiple of 58781 and 58785

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

• Least Common Multiple of 58781 and 58785 by Prime method
• Least Common Multiple of 58781 and 58785 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 58781 and 58785. First we will calculate the prime factors of 58781 and 58785.

Prime Factorization of 58781

Prime factors of 58781 are 43,1367. Prime factorization of 58781 in exponential form is:

58781 = 43¹×1367¹

Prime Factorization of 58785

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

58785 = 3¹×5¹×3919¹

Now multiplying the highest exponent prime factors to calculate the LCM of 58781 and 58785.

LCM(58781,58785) = 3¹×5¹×43¹×1367¹×3919¹
LCM(58781,58785) = 3455441085

Factors of 58781

List of positive integer factors of 58781 that divides 58781 without a remainder.

1, 43, 1367, 58781

Factors of 58785

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58781 and 58785, than apply into the LCM equation.

GCF(58781,58785) = 1
LCM(58781,58785) = ( 58781 × 58785) / 1
LCM(58781,58785) = 3455441085 / 1
LCM(58781,58785) = 3455441085

(i) The LCM of 58785 and 58781 is associative

LCM of 58781 and 58785 = LCM of 58785 and 58781

1. What is the LCM of 58781 and 58785?

Answer: LCM of 58781 and 58785 is 3455441085.

2. What are the Factors of 58781?

Answer: Factors of 58781 are 1, 43, 1367, 58781. There are 4 integers that are factors of 58781. The greatest factor of 58781 is 58781.

3. 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.

4. How to Find the LCM of 58781 and 58785?

Answer:

Least Common Multiple of 58781 and 58785 = 3455441085

Step 1: Find the prime factorization of 58781

58781 = 43 x 1367

Step 2: Find the prime factorization of 58785

58785 = 3 x 5 x 3919

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

LCM = 3455441085 = 3 x 5 x 43 x 1367 x 3919

Step 4: Therefore, the least common multiple of 58781 and 58785 is 3455441085.