Least Common Multiple of 146359 and 146365

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

• Least Common Multiple of 146359 and 146365 by Prime method
• Least Common Multiple of 146359 and 146365 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146359 and 146365. First we will calculate the prime factors of 146359 and 146365.

Prime Factorization of 146359

Prime factors of 146359 are 146359. Prime factorization of 146359 in exponential form is:

146359 = 146359¹

Prime Factorization of 146365

Prime factors of 146365 are 5, 73,401. Prime factorization of 146365 in exponential form is:

146365 = 5¹×73¹×401¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146359 and 146365.

LCM(146359,146365) = 5¹×73¹×401¹×146359¹
LCM(146359,146365) = 21421835035

Factors of 146359

List of positive integer factors of 146359 that divides 146359 without a remainder.

1, 146359

Factors of 146365

List of positive integer factors of 146365 that divides 146365 without a remainder.

1, 5, 73, 365, 401, 2005, 29273, 146365

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146359 and 146365, than apply into the LCM equation.

GCF(146359,146365) = 1
LCM(146359,146365) = ( 146359 × 146365) / 1
LCM(146359,146365) = 21421835035 / 1
LCM(146359,146365) = 21421835035

(i) The LCM of 146365 and 146359 is associative

LCM of 146359 and 146365 = LCM of 146365 and 146359

1. What is the LCM of 146359 and 146365?

Answer: LCM of 146359 and 146365 is 21421835035.

2. What are the Factors of 146359?

Answer: Factors of 146359 are 1, 146359. There are 2 integers that are factors of 146359. The greatest factor of 146359 is 146359.

3. What are the Factors of 146365?

Answer: Factors of 146365 are 1, 5, 73, 365, 401, 2005, 29273, 146365. There are 8 integers that are factors of 146365. The greatest factor of 146365 is 146365.

4. How to Find the LCM of 146359 and 146365?

Answer:

Least Common Multiple of 146359 and 146365 = 21421835035

Step 1: Find the prime factorization of 146359

146359 = 146359

Step 2: Find the prime factorization of 146365

146365 = 5 x 73 x 401

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

LCM = 21421835035 = 5 x 73 x 401 x 146359

Step 4: Therefore, the least common multiple of 146359 and 146365 is 21421835035.