Least Common Multiple of 310404 and 310411

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

• Least Common Multiple of 310404 and 310411 by Prime method
• Least Common Multiple of 310404 and 310411 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310404 and 310411. First we will calculate the prime factors of 310404 and 310411.

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 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 310404 and 310411.

LCM(310404,310411) = 2²×3¹×41¹×67¹×113¹×25867¹
LCM(310404,310411) = 96352816044

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 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 310404 and 310411, than apply into the LCM equation.

GCF(310404,310411) = 1
LCM(310404,310411) = ( 310404 × 310411) / 1
LCM(310404,310411) = 96352816044 / 1
LCM(310404,310411) = 96352816044

(i) The LCM of 310411 and 310404 is associative

LCM of 310404 and 310411 = LCM of 310411 and 310404

1. What is the LCM of 310404 and 310411?

Answer: LCM of 310404 and 310411 is 96352816044.

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 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 310404 and 310411?

Answer:

Least Common Multiple of 310404 and 310411 = 96352816044

Step 1: Find the prime factorization of 310404

310404 = 2 x 2 x 3 x 25867

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 = 96352816044 = 2 x 2 x 3 x 41 x 67 x 113 x 25867

Step 4: Therefore, the least common multiple of 310404 and 310411 is 96352816044.