Least Common Multiple of 306402 and 306407

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

• Least Common Multiple of 306402 and 306407 by Prime method
• Least Common Multiple of 306402 and 306407 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306402 and 306407. First we will calculate the prime factors of 306402 and 306407.

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 306407

Prime factors of 306407 are 306407. Prime factorization of 306407 in exponential form is:

306407 = 306407¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306402 and 306407.

LCM(306402,306407) = 2¹×3¹×223¹×229¹×306407¹
LCM(306402,306407) = 93883717614

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 306407

List of positive integer factors of 306407 that divides 306407 without a remainder.

1, 306407

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306402 and 306407, than apply into the LCM equation.

GCF(306402,306407) = 1
LCM(306402,306407) = ( 306402 × 306407) / 1
LCM(306402,306407) = 93883717614 / 1
LCM(306402,306407) = 93883717614

(i) The LCM of 306407 and 306402 is associative

LCM of 306402 and 306407 = LCM of 306407 and 306402

1. What is the LCM of 306402 and 306407?

Answer: LCM of 306402 and 306407 is 93883717614.

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 306407?

Answer: Factors of 306407 are 1, 306407. There are 2 integers that are factors of 306407. The greatest factor of 306407 is 306407.

4. How to Find the LCM of 306402 and 306407?

Answer:

Least Common Multiple of 306402 and 306407 = 93883717614

Step 1: Find the prime factorization of 306402

306402 = 2 x 3 x 223 x 229

Step 2: Find the prime factorization of 306407

306407 = 306407

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

LCM = 93883717614 = 2 x 3 x 223 x 229 x 306407

Step 4: Therefore, the least common multiple of 306402 and 306407 is 93883717614.