Least Common Multiple of 310405 and 310411

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

• Least Common Multiple of 310405 and 310411 by Prime method
• Least Common Multiple of 310405 and 310411 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310405 and 310411. First we will calculate the prime factors of 310405 and 310411.

Prime Factorization of 310405

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

310405 = 5¹×62081¹

Prime Factorization of 310411

Prime factors of 310411 are 41, 67,113. Prime factorization of 310411 in exponential form is:

310411 = 41¹×67¹×113¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310405 and 310411.

LCM(310405,310411) = 5¹×41¹×67¹×113¹×62081¹
LCM(310405,310411) = 96353126455

Factors of 310405

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

1, 5, 62081, 310405

Factors of 310411

List of positive integer factors of 310411 that divides 310411 without a remainder.

1, 41, 67, 113, 2747, 4633, 7571, 310411

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310405 and 310411, than apply into the LCM equation.

GCF(310405,310411) = 1
LCM(310405,310411) = ( 310405 × 310411) / 1
LCM(310405,310411) = 96353126455 / 1
LCM(310405,310411) = 96353126455

(i) The LCM of 310411 and 310405 is associative

LCM of 310405 and 310411 = LCM of 310411 and 310405

1. What is the LCM of 310405 and 310411?

Answer: LCM of 310405 and 310411 is 96353126455.

2. 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.

3. What are the Factors of 310411?

Answer: Factors of 310411 are 1, 41, 67, 113, 2747, 4633, 7571, 310411. There are 8 integers that are factors of 310411. The greatest factor of 310411 is 310411.

4. How to Find the LCM of 310405 and 310411?

Answer:

Least Common Multiple of 310405 and 310411 = 96353126455

Step 1: Find the prime factorization of 310405

310405 = 5 x 62081

Step 2: Find the prime factorization of 310411

310411 = 41 x 67 x 113

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

LCM = 96353126455 = 5 x 41 x 67 x 113 x 62081

Step 4: Therefore, the least common multiple of 310405 and 310411 is 96353126455.