Least Common Multiple of 321412 and 321413

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

• Least Common Multiple of 321412 and 321413 by Prime method
• Least Common Multiple of 321412 and 321413 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321412 and 321413. First we will calculate the prime factors of 321412 and 321413.

Prime Factorization of 321412

Prime factors of 321412 are 2, 7, 13,883. Prime factorization of 321412 in exponential form is:

321412 = 2²×7¹×13¹×883¹

Prime Factorization of 321413

Prime factors of 321413 are 321413. Prime factorization of 321413 in exponential form is:

321413 = 321413¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321412 and 321413.

LCM(321412,321413) = 2²×7¹×13¹×883¹×321413¹
LCM(321412,321413) = 103305995156

Factors of 321412

List of positive integer factors of 321412 that divides 321412 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364, 883, 1766, 3532, 6181, 11479, 12362, 22958, 24724, 45916, 80353, 160706, 321412

Factors of 321413

List of positive integer factors of 321413 that divides 321413 without a remainder.

1, 321413

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321412 and 321413, than apply into the LCM equation.

GCF(321412,321413) = 1
LCM(321412,321413) = ( 321412 × 321413) / 1
LCM(321412,321413) = 103305995156 / 1
LCM(321412,321413) = 103305995156

(i) The LCM of 321413 and 321412 is associative

LCM of 321412 and 321413 = LCM of 321413 and 321412

1. What is the LCM of 321412 and 321413?

Answer: LCM of 321412 and 321413 is 103305995156.

2. What are the Factors of 321412?

Answer: Factors of 321412 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364, 883, 1766, 3532, 6181, 11479, 12362, 22958, 24724, 45916, 80353, 160706, 321412. There are 24 integers that are factors of 321412. The greatest factor of 321412 is 321412.

3. What are the Factors of 321413?

Answer: Factors of 321413 are 1, 321413. There are 2 integers that are factors of 321413. The greatest factor of 321413 is 321413.

4. How to Find the LCM of 321412 and 321413?

Answer:

Least Common Multiple of 321412 and 321413 = 103305995156

Step 1: Find the prime factorization of 321412

321412 = 2 x 2 x 7 x 13 x 883

Step 2: Find the prime factorization of 321413

321413 = 321413

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

LCM = 103305995156 = 2 x 2 x 7 x 13 x 883 x 321413

Step 4: Therefore, the least common multiple of 321412 and 321413 is 103305995156.