Least Common Multiple of 321481 and 321486

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

• Least Common Multiple of 321481 and 321486 by Prime method
• Least Common Multiple of 321481 and 321486 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321481 and 321486. First we will calculate the prime factors of 321481 and 321486.

Prime Factorization of 321481

Prime factors of 321481 are 41,7841. Prime factorization of 321481 in exponential form is:

321481 = 41¹×7841¹

Prime Factorization of 321486

Prime factors of 321486 are 2, 3, 11,4871. Prime factorization of 321486 in exponential form is:

321486 = 2¹×3¹×11¹×4871¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321481 and 321486.

LCM(321481,321486) = 2¹×3¹×11¹×41¹×4871¹×7841¹
LCM(321481,321486) = 103351640766

Factors of 321481

List of positive integer factors of 321481 that divides 321481 without a remainder.

1, 41, 7841, 321481

Factors of 321486

List of positive integer factors of 321486 that divides 321486 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 4871, 9742, 14613, 29226, 53581, 107162, 160743, 321486

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321481 and 321486, than apply into the LCM equation.

GCF(321481,321486) = 1
LCM(321481,321486) = ( 321481 × 321486) / 1
LCM(321481,321486) = 103351640766 / 1
LCM(321481,321486) = 103351640766

(i) The LCM of 321486 and 321481 is associative

LCM of 321481 and 321486 = LCM of 321486 and 321481

1. What is the LCM of 321481 and 321486?

Answer: LCM of 321481 and 321486 is 103351640766.

2. What are the Factors of 321481?

Answer: Factors of 321481 are 1, 41, 7841, 321481. There are 4 integers that are factors of 321481. The greatest factor of 321481 is 321481.

3. What are the Factors of 321486?

Answer: Factors of 321486 are 1, 2, 3, 6, 11, 22, 33, 66, 4871, 9742, 14613, 29226, 53581, 107162, 160743, 321486. There are 16 integers that are factors of 321486. The greatest factor of 321486 is 321486.

4. How to Find the LCM of 321481 and 321486?

Answer:

Least Common Multiple of 321481 and 321486 = 103351640766

Step 1: Find the prime factorization of 321481

321481 = 41 x 7841

Step 2: Find the prime factorization of 321486

321486 = 2 x 3 x 11 x 4871

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

LCM = 103351640766 = 2 x 3 x 11 x 41 x 4871 x 7841

Step 4: Therefore, the least common multiple of 321481 and 321486 is 103351640766.