Least Common Multiple of 311409 and 311413

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

• Least Common Multiple of 311409 and 311413 by Prime method
• Least Common Multiple of 311409 and 311413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 311409 and 311413. First we will calculate the prime factors of 311409 and 311413.

Prime Factorization of 311409

Prime factors of 311409 are 3, 7,4943. Prime factorization of 311409 in exponential form is:

311409 = 3²×7¹×4943¹

Prime Factorization of 311413

Prime factors of 311413 are 109,2857. Prime factorization of 311413 in exponential form is:

311413 = 109¹×2857¹

Now multiplying the highest exponent prime factors to calculate the LCM of 311409 and 311413.

LCM(311409,311413) = 3²×7¹×109¹×2857¹×4943¹
LCM(311409,311413) = 96976810917

Factors of 311409

List of positive integer factors of 311409 that divides 311409 without a remainder.

1, 3, 7, 9, 21, 63, 4943, 14829, 34601, 44487, 103803, 311409

Factors of 311413

List of positive integer factors of 311413 that divides 311413 without a remainder.

1, 109, 2857, 311413

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311409 and 311413, than apply into the LCM equation.

GCF(311409,311413) = 1
LCM(311409,311413) = ( 311409 × 311413) / 1
LCM(311409,311413) = 96976810917 / 1
LCM(311409,311413) = 96976810917

(i) The LCM of 311413 and 311409 is associative

LCM of 311409 and 311413 = LCM of 311413 and 311409

1. What is the LCM of 311409 and 311413?

Answer: LCM of 311409 and 311413 is 96976810917.

2. What are the Factors of 311409?

Answer: Factors of 311409 are 1, 3, 7, 9, 21, 63, 4943, 14829, 34601, 44487, 103803, 311409. There are 12 integers that are factors of 311409. The greatest factor of 311409 is 311409.

3. What are the Factors of 311413?

Answer: Factors of 311413 are 1, 109, 2857, 311413. There are 4 integers that are factors of 311413. The greatest factor of 311413 is 311413.

4. How to Find the LCM of 311409 and 311413?

Answer:

Least Common Multiple of 311409 and 311413 = 96976810917

Step 1: Find the prime factorization of 311409

311409 = 3 x 3 x 7 x 4943

Step 2: Find the prime factorization of 311413

311413 = 109 x 2857

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

LCM = 96976810917 = 3 x 3 x 7 x 109 x 2857 x 4943

Step 4: Therefore, the least common multiple of 311409 and 311413 is 96976810917.