Least Common Multiple of 321454 and 321459

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

• Least Common Multiple of 321454 and 321459 by Prime method
• Least Common Multiple of 321454 and 321459 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321454 and 321459. First we will calculate the prime factors of 321454 and 321459.

Prime Factorization of 321454

Prime factors of 321454 are 2, 7,22961. Prime factorization of 321454 in exponential form is:

321454 = 2¹×7¹×22961¹

Prime Factorization of 321459

Prime factors of 321459 are 3, 83,1291. Prime factorization of 321459 in exponential form is:

321459 = 3¹×83¹×1291¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321454 and 321459.

LCM(321454,321459) = 2¹×3¹×7¹×83¹×1291¹×22961¹
LCM(321454,321459) = 103334281386

Factors of 321454

List of positive integer factors of 321454 that divides 321454 without a remainder.

1, 2, 7, 14, 22961, 45922, 160727, 321454

Factors of 321459

List of positive integer factors of 321459 that divides 321459 without a remainder.

1, 3, 83, 249, 1291, 3873, 107153, 321459

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321454 and 321459, than apply into the LCM equation.

GCF(321454,321459) = 1
LCM(321454,321459) = ( 321454 × 321459) / 1
LCM(321454,321459) = 103334281386 / 1
LCM(321454,321459) = 103334281386

(i) The LCM of 321459 and 321454 is associative

LCM of 321454 and 321459 = LCM of 321459 and 321454

1. What is the LCM of 321454 and 321459?

Answer: LCM of 321454 and 321459 is 103334281386.

2. What are the Factors of 321454?

Answer: Factors of 321454 are 1, 2, 7, 14, 22961, 45922, 160727, 321454. There are 8 integers that are factors of 321454. The greatest factor of 321454 is 321454.

3. What are the Factors of 321459?

Answer: Factors of 321459 are 1, 3, 83, 249, 1291, 3873, 107153, 321459. There are 8 integers that are factors of 321459. The greatest factor of 321459 is 321459.

4. How to Find the LCM of 321454 and 321459?

Answer:

Least Common Multiple of 321454 and 321459 = 103334281386

Step 1: Find the prime factorization of 321454

321454 = 2 x 7 x 22961

Step 2: Find the prime factorization of 321459

321459 = 3 x 83 x 1291

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

LCM = 103334281386 = 2 x 3 x 7 x 83 x 1291 x 22961

Step 4: Therefore, the least common multiple of 321454 and 321459 is 103334281386.