Least Common Multiple of 306438 and 306445

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

• Least Common Multiple of 306438 and 306445 by Prime method
• Least Common Multiple of 306438 and 306445 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306438 and 306445. First we will calculate the prime factors of 306438 and 306445.

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

Prime Factorization of 306445

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

306445 = 5¹×167¹×367¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306438 and 306445.

LCM(306438,306445) = 2¹×3¹×5¹×11¹×167¹×367¹×4643¹
LCM(306438,306445) = 93906392910

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

Factors of 306445

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306438 and 306445, than apply into the LCM equation.

GCF(306438,306445) = 1
LCM(306438,306445) = ( 306438 × 306445) / 1
LCM(306438,306445) = 93906392910 / 1
LCM(306438,306445) = 93906392910

(i) The LCM of 306445 and 306438 is associative

LCM of 306438 and 306445 = LCM of 306445 and 306438

1. What is the LCM of 306438 and 306445?

Answer: LCM of 306438 and 306445 is 93906392910.

2. 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.

3. 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.

4. How to Find the LCM of 306438 and 306445?

Answer:

Least Common Multiple of 306438 and 306445 = 93906392910

Step 1: Find the prime factorization of 306438

306438 = 2 x 3 x 11 x 4643

Step 2: Find the prime factorization of 306445

306445 = 5 x 167 x 367

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

LCM = 93906392910 = 2 x 3 x 5 x 11 x 167 x 367 x 4643

Step 4: Therefore, the least common multiple of 306438 and 306445 is 93906392910.