Least Common Multiple of 321445 and 321449

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

• Least Common Multiple of 321445 and 321449 by Prime method
• Least Common Multiple of 321445 and 321449 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321445 and 321449. First we will calculate the prime factors of 321445 and 321449.

Prime Factorization of 321445

Prime factors of 321445 are 5, 53,1213. Prime factorization of 321445 in exponential form is:

321445 = 5¹×53¹×1213¹

Prime Factorization of 321449

Prime factors of 321449 are 321449. Prime factorization of 321449 in exponential form is:

321449 = 321449¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321445 and 321449.

LCM(321445,321449) = 5¹×53¹×1213¹×321449¹
LCM(321445,321449) = 103328173805

Factors of 321445

List of positive integer factors of 321445 that divides 321445 without a remainder.

1, 5, 53, 265, 1213, 6065, 64289, 321445

Factors of 321449

List of positive integer factors of 321449 that divides 321449 without a remainder.

1, 321449

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321445 and 321449, than apply into the LCM equation.

GCF(321445,321449) = 1
LCM(321445,321449) = ( 321445 × 321449) / 1
LCM(321445,321449) = 103328173805 / 1
LCM(321445,321449) = 103328173805

(i) The LCM of 321449 and 321445 is associative

LCM of 321445 and 321449 = LCM of 321449 and 321445

1. What is the LCM of 321445 and 321449?

Answer: LCM of 321445 and 321449 is 103328173805.

2. What are the Factors of 321445?

Answer: Factors of 321445 are 1, 5, 53, 265, 1213, 6065, 64289, 321445. There are 8 integers that are factors of 321445. The greatest factor of 321445 is 321445.

3. What are the Factors of 321449?

Answer: Factors of 321449 are 1, 321449. There are 2 integers that are factors of 321449. The greatest factor of 321449 is 321449.

4. How to Find the LCM of 321445 and 321449?

Answer:

Least Common Multiple of 321445 and 321449 = 103328173805

Step 1: Find the prime factorization of 321445

321445 = 5 x 53 x 1213

Step 2: Find the prime factorization of 321449

321449 = 321449

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

LCM = 103328173805 = 5 x 53 x 1213 x 321449

Step 4: Therefore, the least common multiple of 321445 and 321449 is 103328173805.