Least Common Multiple of 321460 and 321461

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

• Least Common Multiple of 321460 and 321461 by Prime method
• Least Common Multiple of 321460 and 321461 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321460 and 321461. First we will calculate the prime factors of 321460 and 321461.

Prime Factorization of 321460

Prime factors of 321460 are 2, 5,16073. Prime factorization of 321460 in exponential form is:

321460 = 2²×5¹×16073¹

Prime Factorization of 321461

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

321461 = 7¹×19¹×2417¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321460 and 321461.

LCM(321460,321461) = 2²×5¹×7¹×19¹×2417¹×16073¹
LCM(321460,321461) = 103336853060

Factors of 321460

List of positive integer factors of 321460 that divides 321460 without a remainder.

1, 2, 4, 5, 10, 20, 16073, 32146, 64292, 80365, 160730, 321460

Factors of 321461

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321460 and 321461, than apply into the LCM equation.

GCF(321460,321461) = 1
LCM(321460,321461) = ( 321460 × 321461) / 1
LCM(321460,321461) = 103336853060 / 1
LCM(321460,321461) = 103336853060

(i) The LCM of 321461 and 321460 is associative

LCM of 321460 and 321461 = LCM of 321461 and 321460

1. What is the LCM of 321460 and 321461?

Answer: LCM of 321460 and 321461 is 103336853060.

2. What are the Factors of 321460?

Answer: Factors of 321460 are 1, 2, 4, 5, 10, 20, 16073, 32146, 64292, 80365, 160730, 321460. There are 12 integers that are factors of 321460. The greatest factor of 321460 is 321460.

3. 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.

4. How to Find the LCM of 321460 and 321461?

Answer:

Least Common Multiple of 321460 and 321461 = 103336853060

Step 1: Find the prime factorization of 321460

321460 = 2 x 2 x 5 x 16073

Step 2: Find the prime factorization of 321461

321461 = 7 x 19 x 2417

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

LCM = 103336853060 = 2 x 2 x 5 x 7 x 19 x 2417 x 16073

Step 4: Therefore, the least common multiple of 321460 and 321461 is 103336853060.