Least Common Multiple of 310412 and 310418

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

• Least Common Multiple of 310412 and 310418 by Prime method
• Least Common Multiple of 310412 and 310418 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310412 and 310418. First we will calculate the prime factors of 310412 and 310418.

Prime Factorization of 310412

Prime factors of 310412 are 2, 71,1093. Prime factorization of 310412 in exponential form is:

310412 = 2²×71¹×1093¹

Prime Factorization of 310418

Prime factors of 310418 are 2,155209. Prime factorization of 310418 in exponential form is:

310418 = 2¹×155209¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310412 and 310418.

LCM(310412,310418) = 2²×71¹×1093¹×155209¹
LCM(310412,310418) = 48178736108

Factors of 310412

List of positive integer factors of 310412 that divides 310412 without a remainder.

1, 2, 4, 71, 142, 284, 1093, 2186, 4372, 77603, 155206, 310412

Factors of 310418

List of positive integer factors of 310418 that divides 310418 without a remainder.

1, 2, 155209, 310418

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310412 and 310418, than apply into the LCM equation.

GCF(310412,310418) = 2
LCM(310412,310418) = ( 310412 × 310418) / 2
LCM(310412,310418) = 96357472216 / 2
LCM(310412,310418) = 48178736108

(i) The LCM of 310418 and 310412 is associative

LCM of 310412 and 310418 = LCM of 310418 and 310412

1. What is the LCM of 310412 and 310418?

Answer: LCM of 310412 and 310418 is 48178736108.

2. What are the Factors of 310412?

Answer: Factors of 310412 are 1, 2, 4, 71, 142, 284, 1093, 2186, 4372, 77603, 155206, 310412. There are 12 integers that are factors of 310412. The greatest factor of 310412 is 310412.

3. What are the Factors of 310418?

Answer: Factors of 310418 are 1, 2, 155209, 310418. There are 4 integers that are factors of 310418. The greatest factor of 310418 is 310418.

4. How to Find the LCM of 310412 and 310418?

Answer:

Least Common Multiple of 310412 and 310418 = 48178736108

Step 1: Find the prime factorization of 310412

310412 = 2 x 2 x 71 x 1093

Step 2: Find the prime factorization of 310418

310418 = 2 x 155209

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

LCM = 48178736108 = 2 x 2 x 71 x 1093 x 155209

Step 4: Therefore, the least common multiple of 310412 and 310418 is 48178736108.