Least Common Multiple of 306402 and 306403

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

• Least Common Multiple of 306402 and 306403 by Prime method
• Least Common Multiple of 306402 and 306403 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306402 and 306403. First we will calculate the prime factors of 306402 and 306403.

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 306403

Prime factors of 306403 are 61,5023. Prime factorization of 306403 in exponential form is:

306403 = 61¹×5023¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306402 and 306403.

LCM(306402,306403) = 2¹×3¹×61¹×223¹×229¹×5023¹
LCM(306402,306403) = 93882492006

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 306403

List of positive integer factors of 306403 that divides 306403 without a remainder.

1, 61, 5023, 306403

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306402 and 306403, than apply into the LCM equation.

GCF(306402,306403) = 1
LCM(306402,306403) = ( 306402 × 306403) / 1
LCM(306402,306403) = 93882492006 / 1
LCM(306402,306403) = 93882492006

(i) The LCM of 306403 and 306402 is associative

LCM of 306402 and 306403 = LCM of 306403 and 306402

1. What is the LCM of 306402 and 306403?

Answer: LCM of 306402 and 306403 is 93882492006.

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 306403?

Answer: Factors of 306403 are 1, 61, 5023, 306403. There are 4 integers that are factors of 306403. The greatest factor of 306403 is 306403.

4. How to Find the LCM of 306402 and 306403?

Answer:

Least Common Multiple of 306402 and 306403 = 93882492006

Step 1: Find the prime factorization of 306402

306402 = 2 x 3 x 223 x 229

Step 2: Find the prime factorization of 306403

306403 = 61 x 5023

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

LCM = 93882492006 = 2 x 3 x 61 x 223 x 229 x 5023

Step 4: Therefore, the least common multiple of 306402 and 306403 is 93882492006.