Least Common Multiple of 321457 and 321465

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

• Least Common Multiple of 321457 and 321465 by Prime method
• Least Common Multiple of 321457 and 321465 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321457 and 321465. First we will calculate the prime factors of 321457 and 321465.

Prime Factorization of 321457

Prime factors of 321457 are 521,617. Prime factorization of 321457 in exponential form is:

321457 = 521¹×617¹

Prime Factorization of 321465

Prime factors of 321465 are 3, 5, 29,739. Prime factorization of 321465 in exponential form is:

321465 = 3¹×5¹×29¹×739¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321457 and 321465.

LCM(321457,321465) = 3¹×5¹×29¹×521¹×617¹×739¹
LCM(321457,321465) = 103337174505

Factors of 321457

List of positive integer factors of 321457 that divides 321457 without a remainder.

1, 521, 617, 321457

Factors of 321465

List of positive integer factors of 321465 that divides 321465 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435, 739, 2217, 3695, 11085, 21431, 64293, 107155, 321465

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321457 and 321465, than apply into the LCM equation.

GCF(321457,321465) = 1
LCM(321457,321465) = ( 321457 × 321465) / 1
LCM(321457,321465) = 103337174505 / 1
LCM(321457,321465) = 103337174505

(i) The LCM of 321465 and 321457 is associative

LCM of 321457 and 321465 = LCM of 321465 and 321457

1. What is the LCM of 321457 and 321465?

Answer: LCM of 321457 and 321465 is 103337174505.

2. What are the Factors of 321457?

Answer: Factors of 321457 are 1, 521, 617, 321457. There are 4 integers that are factors of 321457. The greatest factor of 321457 is 321457.

3. What are the Factors of 321465?

Answer: Factors of 321465 are 1, 3, 5, 15, 29, 87, 145, 435, 739, 2217, 3695, 11085, 21431, 64293, 107155, 321465. There are 16 integers that are factors of 321465. The greatest factor of 321465 is 321465.

4. How to Find the LCM of 321457 and 321465?

Answer:

Least Common Multiple of 321457 and 321465 = 103337174505

Step 1: Find the prime factorization of 321457

321457 = 521 x 617

Step 2: Find the prime factorization of 321465

321465 = 3 x 5 x 29 x 739

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

LCM = 103337174505 = 3 x 5 x 29 x 521 x 617 x 739

Step 4: Therefore, the least common multiple of 321457 and 321465 is 103337174505.