Least Common Multiple of 310404 and 310405

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

• Least Common Multiple of 310404 and 310405 by Prime method
• Least Common Multiple of 310404 and 310405 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310404 and 310405. First we will calculate the prime factors of 310404 and 310405.

Prime Factorization of 310404

Prime factors of 310404 are 2, 3,25867. Prime factorization of 310404 in exponential form is:

310404 = 2²×3¹×25867¹

Prime Factorization of 310405

Prime factors of 310405 are 5,62081. Prime factorization of 310405 in exponential form is:

310405 = 5¹×62081¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310404 and 310405.

LCM(310404,310405) = 2²×3¹×5¹×25867¹×62081¹
LCM(310404,310405) = 96350953620

Factors of 310404

List of positive integer factors of 310404 that divides 310404 without a remainder.

1, 2, 3, 4, 6, 12, 25867, 51734, 77601, 103468, 155202, 310404

Factors of 310405

List of positive integer factors of 310405 that divides 310405 without a remainder.

1, 5, 62081, 310405

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310404 and 310405, than apply into the LCM equation.

GCF(310404,310405) = 1
LCM(310404,310405) = ( 310404 × 310405) / 1
LCM(310404,310405) = 96350953620 / 1
LCM(310404,310405) = 96350953620

(i) The LCM of 310405 and 310404 is associative

LCM of 310404 and 310405 = LCM of 310405 and 310404

1. What is the LCM of 310404 and 310405?

Answer: LCM of 310404 and 310405 is 96350953620.

2. What are the Factors of 310404?

Answer: Factors of 310404 are 1, 2, 3, 4, 6, 12, 25867, 51734, 77601, 103468, 155202, 310404. There are 12 integers that are factors of 310404. The greatest factor of 310404 is 310404.

3. What are the Factors of 310405?

Answer: Factors of 310405 are 1, 5, 62081, 310405. There are 4 integers that are factors of 310405. The greatest factor of 310405 is 310405.

4. How to Find the LCM of 310404 and 310405?

Answer:

Least Common Multiple of 310404 and 310405 = 96350953620

Step 1: Find the prime factorization of 310404

310404 = 2 x 2 x 3 x 25867

Step 2: Find the prime factorization of 310405

310405 = 5 x 62081

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

LCM = 96350953620 = 2 x 2 x 3 x 5 x 25867 x 62081

Step 4: Therefore, the least common multiple of 310404 and 310405 is 96350953620.