Least Common Multiple of 310402 and 310403

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

• Least Common Multiple of 310402 and 310403 by Prime method
• Least Common Multiple of 310402 and 310403 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310402 and 310403. First we will calculate the prime factors of 310402 and 310403.

Prime Factorization of 310402

Prime factors of 310402 are 2,155201. Prime factorization of 310402 in exponential form is:

310402 = 2¹×155201¹

Prime Factorization of 310403

Prime factors of 310403 are 17, 19,31. Prime factorization of 310403 in exponential form is:

310403 = 17¹×19¹×31²

Now multiplying the highest exponent prime factors to calculate the LCM of 310402 and 310403.

LCM(310402,310403) = 2¹×17¹×19¹×31²×155201¹
LCM(310402,310403) = 96349712006

Factors of 310402

List of positive integer factors of 310402 that divides 310402 without a remainder.

1, 2, 155201, 310402

Factors of 310403

List of positive integer factors of 310403 that divides 310403 without a remainder.

1, 17, 19, 31, 323, 527, 589, 961, 10013, 16337, 18259, 310403

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310402 and 310403, than apply into the LCM equation.

GCF(310402,310403) = 1
LCM(310402,310403) = ( 310402 × 310403) / 1
LCM(310402,310403) = 96349712006 / 1
LCM(310402,310403) = 96349712006

(i) The LCM of 310403 and 310402 is associative

LCM of 310402 and 310403 = LCM of 310403 and 310402

1. What is the LCM of 310402 and 310403?

Answer: LCM of 310402 and 310403 is 96349712006.

2. What are the Factors of 310402?

Answer: Factors of 310402 are 1, 2, 155201, 310402. There are 4 integers that are factors of 310402. The greatest factor of 310402 is 310402.

3. What are the Factors of 310403?

Answer: Factors of 310403 are 1, 17, 19, 31, 323, 527, 589, 961, 10013, 16337, 18259, 310403. There are 12 integers that are factors of 310403. The greatest factor of 310403 is 310403.

4. How to Find the LCM of 310402 and 310403?

Answer:

Least Common Multiple of 310402 and 310403 = 96349712006

Step 1: Find the prime factorization of 310402

310402 = 2 x 155201

Step 2: Find the prime factorization of 310403

310403 = 17 x 19 x 31 x 31

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

LCM = 96349712006 = 2 x 17 x 19 x 31 x 31 x 155201

Step 4: Therefore, the least common multiple of 310402 and 310403 is 96349712006.