Least Common Multiple of 306402 and 306406

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

• Least Common Multiple of 306402 and 306406 by Prime method
• Least Common Multiple of 306402 and 306406 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306402 and 306406. First we will calculate the prime factors of 306402 and 306406.

Prime Factorization of 306402

Prime factors of 306402 are 2, 3, 223,229. Prime factorization of 306402 in exponential form is:

306402 = 2¹×3¹×223¹×229¹

Prime Factorization of 306406

Prime factors of 306406 are 2, 23,6661. Prime factorization of 306406 in exponential form is:

306406 = 2¹×23¹×6661¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306402 and 306406.

LCM(306402,306406) = 2¹×3¹×23¹×223¹×229¹×6661¹
LCM(306402,306406) = 46941705606

Factors of 306402

List of positive integer factors of 306402 that divides 306402 without a remainder.

1, 2, 3, 6, 223, 229, 446, 458, 669, 687, 1338, 1374, 51067, 102134, 153201, 306402

Factors of 306406

List of positive integer factors of 306406 that divides 306406 without a remainder.

1, 2, 23, 46, 6661, 13322, 153203, 306406

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306402 and 306406, than apply into the LCM equation.

GCF(306402,306406) = 2
LCM(306402,306406) = ( 306402 × 306406) / 2
LCM(306402,306406) = 93883411212 / 2
LCM(306402,306406) = 46941705606

(i) The LCM of 306406 and 306402 is associative

LCM of 306402 and 306406 = LCM of 306406 and 306402

1. What is the LCM of 306402 and 306406?

Answer: LCM of 306402 and 306406 is 46941705606.

2. What are the Factors of 306402?

Answer: Factors of 306402 are 1, 2, 3, 6, 223, 229, 446, 458, 669, 687, 1338, 1374, 51067, 102134, 153201, 306402. There are 16 integers that are factors of 306402. The greatest factor of 306402 is 306402.

3. What are the Factors of 306406?

Answer: Factors of 306406 are 1, 2, 23, 46, 6661, 13322, 153203, 306406. There are 8 integers that are factors of 306406. The greatest factor of 306406 is 306406.

4. How to Find the LCM of 306402 and 306406?

Answer:

Least Common Multiple of 306402 and 306406 = 46941705606

Step 1: Find the prime factorization of 306402

306402 = 2 x 3 x 223 x 229

Step 2: Find the prime factorization of 306406

306406 = 2 x 23 x 6661

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

LCM = 46941705606 = 2 x 3 x 23 x 223 x 229 x 6661

Step 4: Therefore, the least common multiple of 306402 and 306406 is 46941705606.