Least Common Multiple of 306437 and 306442

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

• Least Common Multiple of 306437 and 306442 by Prime method
• Least Common Multiple of 306437 and 306442 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306437 and 306442. First we will calculate the prime factors of 306437 and 306442.

Prime Factorization of 306437

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

306437 = 306437¹

Prime Factorization of 306442

Prime factors of 306442 are 2, 17,9013. Prime factorization of 306442 in exponential form is:

306442 = 2¹×17¹×9013¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306437 and 306442.

LCM(306437,306442) = 2¹×17¹×9013¹×306437¹
LCM(306437,306442) = 93905167154

Factors of 306437

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

1, 306437

Factors of 306442

List of positive integer factors of 306442 that divides 306442 without a remainder.

1, 2, 17, 34, 9013, 18026, 153221, 306442

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306437 and 306442, than apply into the LCM equation.

GCF(306437,306442) = 1
LCM(306437,306442) = ( 306437 × 306442) / 1
LCM(306437,306442) = 93905167154 / 1
LCM(306437,306442) = 93905167154

(i) The LCM of 306442 and 306437 is associative

LCM of 306437 and 306442 = LCM of 306442 and 306437

1. What is the LCM of 306437 and 306442?

Answer: LCM of 306437 and 306442 is 93905167154.

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 306442?

Answer: Factors of 306442 are 1, 2, 17, 34, 9013, 18026, 153221, 306442. There are 8 integers that are factors of 306442. The greatest factor of 306442 is 306442.

4. How to Find the LCM of 306437 and 306442?

Answer:

Least Common Multiple of 306437 and 306442 = 93905167154

Step 1: Find the prime factorization of 306437

306437 = 306437

Step 2: Find the prime factorization of 306442

306442 = 2 x 17 x 9013

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

LCM = 93905167154 = 2 x 17 x 9013 x 306437

Step 4: Therefore, the least common multiple of 306437 and 306442 is 93905167154.