Least Common Multiple of 146365 and 146371

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

• Least Common Multiple of 146365 and 146371 by Prime method
• Least Common Multiple of 146365 and 146371 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146365 and 146371. First we will calculate the prime factors of 146365 and 146371.

Prime Factorization of 146365

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

146365 = 5¹×73¹×401¹

Prime Factorization of 146371

Prime factors of 146371 are 197,743. Prime factorization of 146371 in exponential form is:

146371 = 197¹×743¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146365 and 146371.

LCM(146365,146371) = 5¹×73¹×197¹×401¹×743¹
LCM(146365,146371) = 21423591415

Factors of 146365

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

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

Factors of 146371

List of positive integer factors of 146371 that divides 146371 without a remainder.

1, 197, 743, 146371

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146365 and 146371, than apply into the LCM equation.

GCF(146365,146371) = 1
LCM(146365,146371) = ( 146365 × 146371) / 1
LCM(146365,146371) = 21423591415 / 1
LCM(146365,146371) = 21423591415

(i) The LCM of 146371 and 146365 is associative

LCM of 146365 and 146371 = LCM of 146371 and 146365

1. What is the LCM of 146365 and 146371?

Answer: LCM of 146365 and 146371 is 21423591415.

2. 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.

3. What are the Factors of 146371?

Answer: Factors of 146371 are 1, 197, 743, 146371. There are 4 integers that are factors of 146371. The greatest factor of 146371 is 146371.

4. How to Find the LCM of 146365 and 146371?

Answer:

Least Common Multiple of 146365 and 146371 = 21423591415

Step 1: Find the prime factorization of 146365

146365 = 5 x 73 x 401

Step 2: Find the prime factorization of 146371

146371 = 197 x 743

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

LCM = 21423591415 = 5 x 73 x 197 x 401 x 743

Step 4: Therefore, the least common multiple of 146365 and 146371 is 21423591415.