Least Common Multiple of 306445 and 306453

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

• Least Common Multiple of 306445 and 306453 by Prime method
• Least Common Multiple of 306445 and 306453 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306445 and 306453. First we will calculate the prime factors of 306445 and 306453.

Prime Factorization of 306445

Prime factors of 306445 are 5, 167,367. Prime factorization of 306445 in exponential form is:

306445 = 5¹×167¹×367¹

Prime Factorization of 306453

Prime factors of 306453 are 3, 7,14593. Prime factorization of 306453 in exponential form is:

306453 = 3¹×7¹×14593¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306445 and 306453.

LCM(306445,306453) = 3¹×5¹×7¹×167¹×367¹×14593¹
LCM(306445,306453) = 93910989585

Factors of 306445

List of positive integer factors of 306445 that divides 306445 without a remainder.

1, 5, 167, 367, 835, 1835, 61289, 306445

Factors of 306453

List of positive integer factors of 306453 that divides 306453 without a remainder.

1, 3, 7, 21, 14593, 43779, 102151, 306453

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306445 and 306453, than apply into the LCM equation.

GCF(306445,306453) = 1
LCM(306445,306453) = ( 306445 × 306453) / 1
LCM(306445,306453) = 93910989585 / 1
LCM(306445,306453) = 93910989585

(i) The LCM of 306453 and 306445 is associative

LCM of 306445 and 306453 = LCM of 306453 and 306445

1. What is the LCM of 306445 and 306453?

Answer: LCM of 306445 and 306453 is 93910989585.

2. What are the Factors of 306445?

Answer: Factors of 306445 are 1, 5, 167, 367, 835, 1835, 61289, 306445. There are 8 integers that are factors of 306445. The greatest factor of 306445 is 306445.

3. What are the Factors of 306453?

Answer: Factors of 306453 are 1, 3, 7, 21, 14593, 43779, 102151, 306453. There are 8 integers that are factors of 306453. The greatest factor of 306453 is 306453.

4. How to Find the LCM of 306445 and 306453?

Answer:

Least Common Multiple of 306445 and 306453 = 93910989585

Step 1: Find the prime factorization of 306445

306445 = 5 x 167 x 367

Step 2: Find the prime factorization of 306453

306453 = 3 x 7 x 14593

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

LCM = 93910989585 = 3 x 5 x 7 x 167 x 367 x 14593

Step 4: Therefore, the least common multiple of 306445 and 306453 is 93910989585.