Least Common Multiple of 306437 and 306441

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

• Least Common Multiple of 306437 and 306441 by Prime method
• Least Common Multiple of 306437 and 306441 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306437 and 306441. First we will calculate the prime factors of 306437 and 306441.

Prime Factorization of 306437

Prime factors of 306437 are 306437. Prime factorization of 306437 in exponential form is:

306437 = 306437¹

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 306437 and 306441.

LCM(306437,306441) = 3²×79¹×431¹×306437¹
LCM(306437,306441) = 93904860717

Factors of 306437

List of positive integer factors of 306437 that divides 306437 without a remainder.

1, 306437

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 306437 and 306441, than apply into the LCM equation.

GCF(306437,306441) = 1
LCM(306437,306441) = ( 306437 × 306441) / 1
LCM(306437,306441) = 93904860717 / 1
LCM(306437,306441) = 93904860717

(i) The LCM of 306441 and 306437 is associative

LCM of 306437 and 306441 = LCM of 306441 and 306437

1. What is the LCM of 306437 and 306441?

Answer: LCM of 306437 and 306441 is 93904860717.

2. What are the Factors of 306437?

Answer: Factors of 306437 are 1, 306437. There are 2 integers that are factors of 306437. The greatest factor of 306437 is 306437.

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 306437 and 306441?

Answer:

Least Common Multiple of 306437 and 306441 = 93904860717

Step 1: Find the prime factorization of 306437

306437 = 306437

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 = 93904860717 = 3 x 3 x 79 x 431 x 306437

Step 4: Therefore, the least common multiple of 306437 and 306441 is 93904860717.