Least Common Multiple of 321409 and 321414

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

• Least Common Multiple of 321409 and 321414 by Prime method
• Least Common Multiple of 321409 and 321414 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321409 and 321414. First we will calculate the prime factors of 321409 and 321414.

Prime Factorization of 321409

Prime factors of 321409 are 11, 61,479. Prime factorization of 321409 in exponential form is:

321409 = 11¹×61¹×479¹

Prime Factorization of 321414

Prime factors of 321414 are 2, 3,53569. Prime factorization of 321414 in exponential form is:

321414 = 2¹×3¹×53569¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321409 and 321414.

LCM(321409,321414) = 2¹×3¹×11¹×61¹×479¹×53569¹
LCM(321409,321414) = 103305352326

Factors of 321409

List of positive integer factors of 321409 that divides 321409 without a remainder.

1, 11, 61, 479, 671, 5269, 29219, 321409

Factors of 321414

List of positive integer factors of 321414 that divides 321414 without a remainder.

1, 2, 3, 6, 53569, 107138, 160707, 321414

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321409 and 321414, than apply into the LCM equation.

GCF(321409,321414) = 1
LCM(321409,321414) = ( 321409 × 321414) / 1
LCM(321409,321414) = 103305352326 / 1
LCM(321409,321414) = 103305352326

(i) The LCM of 321414 and 321409 is associative

LCM of 321409 and 321414 = LCM of 321414 and 321409

1. What is the LCM of 321409 and 321414?

Answer: LCM of 321409 and 321414 is 103305352326.

2. What are the Factors of 321409?

Answer: Factors of 321409 are 1, 11, 61, 479, 671, 5269, 29219, 321409. There are 8 integers that are factors of 321409. The greatest factor of 321409 is 321409.

3. What are the Factors of 321414?

Answer: Factors of 321414 are 1, 2, 3, 6, 53569, 107138, 160707, 321414. There are 8 integers that are factors of 321414. The greatest factor of 321414 is 321414.

4. How to Find the LCM of 321409 and 321414?

Answer:

Least Common Multiple of 321409 and 321414 = 103305352326

Step 1: Find the prime factorization of 321409

321409 = 11 x 61 x 479

Step 2: Find the prime factorization of 321414

321414 = 2 x 3 x 53569

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

LCM = 103305352326 = 2 x 3 x 11 x 61 x 479 x 53569

Step 4: Therefore, the least common multiple of 321409 and 321414 is 103305352326.