Least Common Multiple of 306433 and 306441

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

• Least Common Multiple of 306433 and 306441 by Prime method
• Least Common Multiple of 306433 and 306441 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306433 and 306441. First we will calculate the prime factors of 306433 and 306441.

Prime Factorization of 306433

Prime factors of 306433 are 181,1693. Prime factorization of 306433 in exponential form is:

306433 = 181¹×1693¹

Prime Factorization of 306441

Prime factors of 306441 are 3, 79,431. Prime factorization of 306441 in exponential form is:

306441 = 3²×79¹×431¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306433 and 306441.

LCM(306433,306441) = 3²×79¹×181¹×431¹×1693¹
LCM(306433,306441) = 93903634953

Factors of 306433

List of positive integer factors of 306433 that divides 306433 without a remainder.

1, 181, 1693, 306433

Factors of 306441

List of positive integer factors of 306441 that divides 306441 without a remainder.

1, 3, 9, 79, 237, 431, 711, 1293, 3879, 34049, 102147, 306441

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306433 and 306441, than apply into the LCM equation.

GCF(306433,306441) = 1
LCM(306433,306441) = ( 306433 × 306441) / 1
LCM(306433,306441) = 93903634953 / 1
LCM(306433,306441) = 93903634953

(i) The LCM of 306441 and 306433 is associative

LCM of 306433 and 306441 = LCM of 306441 and 306433

1. What is the LCM of 306433 and 306441?

Answer: LCM of 306433 and 306441 is 93903634953.

2. What are the Factors of 306433?

Answer: Factors of 306433 are 1, 181, 1693, 306433. There are 4 integers that are factors of 306433. The greatest factor of 306433 is 306433.

3. What are the Factors of 306441?

Answer: Factors of 306441 are 1, 3, 9, 79, 237, 431, 711, 1293, 3879, 34049, 102147, 306441. There are 12 integers that are factors of 306441. The greatest factor of 306441 is 306441.

4. How to Find the LCM of 306433 and 306441?

Answer:

Least Common Multiple of 306433 and 306441 = 93903634953

Step 1: Find the prime factorization of 306433

306433 = 181 x 1693

Step 2: Find the prime factorization of 306441

306441 = 3 x 3 x 79 x 431

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

LCM = 93903634953 = 3 x 3 x 79 x 181 x 431 x 1693

Step 4: Therefore, the least common multiple of 306433 and 306441 is 93903634953.