Least Common Multiple of 309407 and 309412

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

• Least Common Multiple of 309407 and 309412 by Prime method
• Least Common Multiple of 309407 and 309412 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 309407 and 309412. First we will calculate the prime factors of 309407 and 309412.

Prime Factorization of 309407

Prime factors of 309407 are 7,44201. Prime factorization of 309407 in exponential form is:

309407 = 7¹×44201¹

Prime Factorization of 309412

Prime factors of 309412 are 2, 103,751. Prime factorization of 309412 in exponential form is:

309412 = 2²×103¹×751¹

Now multiplying the highest exponent prime factors to calculate the LCM of 309407 and 309412.

LCM(309407,309412) = 2²×7¹×103¹×751¹×44201¹
LCM(309407,309412) = 95734238684

Factors of 309407

List of positive integer factors of 309407 that divides 309407 without a remainder.

1, 7, 44201, 309407

Factors of 309412

List of positive integer factors of 309412 that divides 309412 without a remainder.

1, 2, 4, 103, 206, 412, 751, 1502, 3004, 77353, 154706, 309412

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309407 and 309412, than apply into the LCM equation.

GCF(309407,309412) = 1
LCM(309407,309412) = ( 309407 × 309412) / 1
LCM(309407,309412) = 95734238684 / 1
LCM(309407,309412) = 95734238684

(i) The LCM of 309412 and 309407 is associative

LCM of 309407 and 309412 = LCM of 309412 and 309407

1. What is the LCM of 309407 and 309412?

Answer: LCM of 309407 and 309412 is 95734238684.

2. What are the Factors of 309407?

Answer: Factors of 309407 are 1, 7, 44201, 309407. There are 4 integers that are factors of 309407. The greatest factor of 309407 is 309407.

3. What are the Factors of 309412?

Answer: Factors of 309412 are 1, 2, 4, 103, 206, 412, 751, 1502, 3004, 77353, 154706, 309412. There are 12 integers that are factors of 309412. The greatest factor of 309412 is 309412.

4. How to Find the LCM of 309407 and 309412?

Answer:

Least Common Multiple of 309407 and 309412 = 95734238684

Step 1: Find the prime factorization of 309407

309407 = 7 x 44201

Step 2: Find the prime factorization of 309412

309412 = 2 x 2 x 103 x 751

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

LCM = 95734238684 = 2 x 2 x 7 x 103 x 751 x 44201

Step 4: Therefore, the least common multiple of 309407 and 309412 is 95734238684.