Least Common Multiple of 146383 and 146391

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

• Least Common Multiple of 146383 and 146391 by Prime method
• Least Common Multiple of 146383 and 146391 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146383 and 146391. First we will calculate the prime factors of 146383 and 146391.

Prime Factorization of 146383

Prime factors of 146383 are 146383. Prime factorization of 146383 in exponential form is:

146383 = 146383¹

Prime Factorization of 146391

Prime factors of 146391 are 3, 7,6971. Prime factorization of 146391 in exponential form is:

146391 = 3¹×7¹×6971¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146383 and 146391.

LCM(146383,146391) = 3¹×7¹×6971¹×146383¹
LCM(146383,146391) = 21429153753

Factors of 146383

List of positive integer factors of 146383 that divides 146383 without a remainder.

1, 146383

Factors of 146391

List of positive integer factors of 146391 that divides 146391 without a remainder.

1, 3, 7, 21, 6971, 20913, 48797, 146391

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146383 and 146391, than apply into the LCM equation.

GCF(146383,146391) = 1
LCM(146383,146391) = ( 146383 × 146391) / 1
LCM(146383,146391) = 21429153753 / 1
LCM(146383,146391) = 21429153753

(i) The LCM of 146391 and 146383 is associative

LCM of 146383 and 146391 = LCM of 146391 and 146383

1. What is the LCM of 146383 and 146391?

Answer: LCM of 146383 and 146391 is 21429153753.

2. What are the Factors of 146383?

Answer: Factors of 146383 are 1, 146383. There are 2 integers that are factors of 146383. The greatest factor of 146383 is 146383.

3. What are the Factors of 146391?

Answer: Factors of 146391 are 1, 3, 7, 21, 6971, 20913, 48797, 146391. There are 8 integers that are factors of 146391. The greatest factor of 146391 is 146391.

4. How to Find the LCM of 146383 and 146391?

Answer:

Least Common Multiple of 146383 and 146391 = 21429153753

Step 1: Find the prime factorization of 146383

146383 = 146383

Step 2: Find the prime factorization of 146391

146391 = 3 x 7 x 6971

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

LCM = 21429153753 = 3 x 7 x 6971 x 146383

Step 4: Therefore, the least common multiple of 146383 and 146391 is 21429153753.