Least Common Multiple of 321477 and 321481

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

• Least Common Multiple of 321477 and 321481 by Prime method
• Least Common Multiple of 321477 and 321481 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321477 and 321481. First we will calculate the prime factors of 321477 and 321481.

Prime Factorization of 321477

Prime factors of 321477 are 3, 13,8243. Prime factorization of 321477 in exponential form is:

321477 = 3¹×13¹×8243¹

Prime Factorization of 321481

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

321481 = 41¹×7841¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321477 and 321481.

LCM(321477,321481) = 3¹×13¹×41¹×7841¹×8243¹
LCM(321477,321481) = 103348747437

Factors of 321477

List of positive integer factors of 321477 that divides 321477 without a remainder.

1, 3, 13, 39, 8243, 24729, 107159, 321477

Factors of 321481

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

1, 41, 7841, 321481

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321477 and 321481, than apply into the LCM equation.

GCF(321477,321481) = 1
LCM(321477,321481) = ( 321477 × 321481) / 1
LCM(321477,321481) = 103348747437 / 1
LCM(321477,321481) = 103348747437

(i) The LCM of 321481 and 321477 is associative

LCM of 321477 and 321481 = LCM of 321481 and 321477

1. What is the LCM of 321477 and 321481?

Answer: LCM of 321477 and 321481 is 103348747437.

2. What are the Factors of 321477?

Answer: Factors of 321477 are 1, 3, 13, 39, 8243, 24729, 107159, 321477. There are 8 integers that are factors of 321477. The greatest factor of 321477 is 321477.

3. 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.

4. How to Find the LCM of 321477 and 321481?

Answer:

Least Common Multiple of 321477 and 321481 = 103348747437

Step 1: Find the prime factorization of 321477

321477 = 3 x 13 x 8243

Step 2: Find the prime factorization of 321481

321481 = 41 x 7841

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

LCM = 103348747437 = 3 x 13 x 41 x 7841 x 8243

Step 4: Therefore, the least common multiple of 321477 and 321481 is 103348747437.