Least Common Multiple of 321461 and 321466

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

• Least Common Multiple of 321461 and 321466 by Prime method
• Least Common Multiple of 321461 and 321466 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321461 and 321466. First we will calculate the prime factors of 321461 and 321466.

Prime Factorization of 321461

Prime factors of 321461 are 7, 19,2417. Prime factorization of 321461 in exponential form is:

321461 = 7¹×19¹×2417¹

Prime Factorization of 321466

Prime factors of 321466 are 2, 67,2399. Prime factorization of 321466 in exponential form is:

321466 = 2¹×67¹×2399¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321461 and 321466.

LCM(321461,321466) = 2¹×7¹×19¹×67¹×2399¹×2417¹
LCM(321461,321466) = 103338781826

Factors of 321461

List of positive integer factors of 321461 that divides 321461 without a remainder.

1, 7, 19, 133, 2417, 16919, 45923, 321461

Factors of 321466

List of positive integer factors of 321466 that divides 321466 without a remainder.

1, 2, 67, 134, 2399, 4798, 160733, 321466

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321461 and 321466, than apply into the LCM equation.

GCF(321461,321466) = 1
LCM(321461,321466) = ( 321461 × 321466) / 1
LCM(321461,321466) = 103338781826 / 1
LCM(321461,321466) = 103338781826

(i) The LCM of 321466 and 321461 is associative

LCM of 321461 and 321466 = LCM of 321466 and 321461

1. What is the LCM of 321461 and 321466?

Answer: LCM of 321461 and 321466 is 103338781826.

2. What are the Factors of 321461?

Answer: Factors of 321461 are 1, 7, 19, 133, 2417, 16919, 45923, 321461. There are 8 integers that are factors of 321461. The greatest factor of 321461 is 321461.

3. What are the Factors of 321466?

Answer: Factors of 321466 are 1, 2, 67, 134, 2399, 4798, 160733, 321466. There are 8 integers that are factors of 321466. The greatest factor of 321466 is 321466.

4. How to Find the LCM of 321461 and 321466?

Answer:

Least Common Multiple of 321461 and 321466 = 103338781826

Step 1: Find the prime factorization of 321461

321461 = 7 x 19 x 2417

Step 2: Find the prime factorization of 321466

321466 = 2 x 67 x 2399

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

LCM = 103338781826 = 2 x 7 x 19 x 67 x 2399 x 2417

Step 4: Therefore, the least common multiple of 321461 and 321466 is 103338781826.