Least Common Multiple of 310449 and 310454

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

• Least Common Multiple of 310449 and 310454 by Prime method
• Least Common Multiple of 310449 and 310454 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310449 and 310454. First we will calculate the prime factors of 310449 and 310454.

Prime Factorization of 310449

Prime factors of 310449 are 3,103483. Prime factorization of 310449 in exponential form is:

310449 = 3¹×103483¹

Prime Factorization of 310454

Prime factors of 310454 are 2, 17, 23,397. Prime factorization of 310454 in exponential form is:

310454 = 2¹×17¹×23¹×397¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310449 and 310454.

LCM(310449,310454) = 2¹×3¹×17¹×23¹×397¹×103483¹
LCM(310449,310454) = 96380133846

Factors of 310449

List of positive integer factors of 310449 that divides 310449 without a remainder.

1, 3, 103483, 310449

Factors of 310454

List of positive integer factors of 310454 that divides 310454 without a remainder.

1, 2, 17, 23, 34, 46, 391, 397, 782, 794, 6749, 9131, 13498, 18262, 155227, 310454

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310449 and 310454, than apply into the LCM equation.

GCF(310449,310454) = 1
LCM(310449,310454) = ( 310449 × 310454) / 1
LCM(310449,310454) = 96380133846 / 1
LCM(310449,310454) = 96380133846

(i) The LCM of 310454 and 310449 is associative

LCM of 310449 and 310454 = LCM of 310454 and 310449

1. What is the LCM of 310449 and 310454?

Answer: LCM of 310449 and 310454 is 96380133846.

2. What are the Factors of 310449?

Answer: Factors of 310449 are 1, 3, 103483, 310449. There are 4 integers that are factors of 310449. The greatest factor of 310449 is 310449.

3. What are the Factors of 310454?

Answer: Factors of 310454 are 1, 2, 17, 23, 34, 46, 391, 397, 782, 794, 6749, 9131, 13498, 18262, 155227, 310454. There are 16 integers that are factors of 310454. The greatest factor of 310454 is 310454.

4. How to Find the LCM of 310449 and 310454?

Answer:

Least Common Multiple of 310449 and 310454 = 96380133846

Step 1: Find the prime factorization of 310449

310449 = 3 x 103483

Step 2: Find the prime factorization of 310454

310454 = 2 x 17 x 23 x 397

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

LCM = 96380133846 = 2 x 3 x 17 x 23 x 397 x 103483

Step 4: Therefore, the least common multiple of 310449 and 310454 is 96380133846.