Least Common Multiple of 306433 and 306438

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

• Least Common Multiple of 306433 and 306438 by Prime method
• Least Common Multiple of 306433 and 306438 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306433 and 306438. First we will calculate the prime factors of 306433 and 306438.

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 306438

Prime factors of 306438 are 2, 3, 11,4643. Prime factorization of 306438 in exponential form is:

306438 = 2¹×3¹×11¹×4643¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306433 and 306438.

LCM(306433,306438) = 2¹×3¹×11¹×181¹×1693¹×4643¹
LCM(306433,306438) = 93902715654

Factors of 306433

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

1, 181, 1693, 306433

Factors of 306438

List of positive integer factors of 306438 that divides 306438 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 4643, 9286, 13929, 27858, 51073, 102146, 153219, 306438

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306433 and 306438, than apply into the LCM equation.

GCF(306433,306438) = 1
LCM(306433,306438) = ( 306433 × 306438) / 1
LCM(306433,306438) = 93902715654 / 1
LCM(306433,306438) = 93902715654

(i) The LCM of 306438 and 306433 is associative

LCM of 306433 and 306438 = LCM of 306438 and 306433

1. What is the LCM of 306433 and 306438?

Answer: LCM of 306433 and 306438 is 93902715654.

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 306438?

Answer: Factors of 306438 are 1, 2, 3, 6, 11, 22, 33, 66, 4643, 9286, 13929, 27858, 51073, 102146, 153219, 306438. There are 16 integers that are factors of 306438. The greatest factor of 306438 is 306438.

4. How to Find the LCM of 306433 and 306438?

Answer:

Least Common Multiple of 306433 and 306438 = 93902715654

Step 1: Find the prime factorization of 306433

306433 = 181 x 1693

Step 2: Find the prime factorization of 306438

306438 = 2 x 3 x 11 x 4643

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

LCM = 93902715654 = 2 x 3 x 11 x 181 x 1693 x 4643

Step 4: Therefore, the least common multiple of 306433 and 306438 is 93902715654.