Least Common Multiple of 146381 and 146385

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

• Least Common Multiple of 146381 and 146385 by Prime method
• Least Common Multiple of 146381 and 146385 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146381 and 146385. First we will calculate the prime factors of 146381 and 146385.

Prime Factorization of 146381

Prime factors of 146381 are 146381. Prime factorization of 146381 in exponential form is:

146381 = 146381¹

Prime Factorization of 146385

Prime factors of 146385 are 3, 5,3253. Prime factorization of 146385 in exponential form is:

146385 = 3²×5¹×3253¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146381 and 146385.

LCM(146381,146385) = 3²×5¹×3253¹×146381¹
LCM(146381,146385) = 21427982685

Factors of 146381

List of positive integer factors of 146381 that divides 146381 without a remainder.

1, 146381

Factors of 146385

List of positive integer factors of 146385 that divides 146385 without a remainder.

1, 3, 5, 9, 15, 45, 3253, 9759, 16265, 29277, 48795, 146385

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146381 and 146385, than apply into the LCM equation.

GCF(146381,146385) = 1
LCM(146381,146385) = ( 146381 × 146385) / 1
LCM(146381,146385) = 21427982685 / 1
LCM(146381,146385) = 21427982685

(i) The LCM of 146385 and 146381 is associative

LCM of 146381 and 146385 = LCM of 146385 and 146381

1. What is the LCM of 146381 and 146385?

Answer: LCM of 146381 and 146385 is 21427982685.

2. What are the Factors of 146381?

Answer: Factors of 146381 are 1, 146381. There are 2 integers that are factors of 146381. The greatest factor of 146381 is 146381.

3. What are the Factors of 146385?

Answer: Factors of 146385 are 1, 3, 5, 9, 15, 45, 3253, 9759, 16265, 29277, 48795, 146385. There are 12 integers that are factors of 146385. The greatest factor of 146385 is 146385.

4. How to Find the LCM of 146381 and 146385?

Answer:

Least Common Multiple of 146381 and 146385 = 21427982685

Step 1: Find the prime factorization of 146381

146381 = 146381

Step 2: Find the prime factorization of 146385

146385 = 3 x 3 x 5 x 3253

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

LCM = 21427982685 = 3 x 3 x 5 x 3253 x 146381

Step 4: Therefore, the least common multiple of 146381 and 146385 is 21427982685.