Least Common Multiple of 321465 and 321473

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

• Least Common Multiple of 321465 and 321473 by Prime method
• Least Common Multiple of 321465 and 321473 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321465 and 321473. First we will calculate the prime factors of 321465 and 321473.

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

Prime Factorization of 321473

Prime factors of 321473 are 563,571. Prime factorization of 321473 in exponential form is:

321473 = 563¹×571¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321465 and 321473.

LCM(321465,321473) = 3¹×5¹×29¹×563¹×571¹×739¹
LCM(321465,321473) = 103342317945

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

Factors of 321473

List of positive integer factors of 321473 that divides 321473 without a remainder.

1, 563, 571, 321473

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321465 and 321473, than apply into the LCM equation.

GCF(321465,321473) = 1
LCM(321465,321473) = ( 321465 × 321473) / 1
LCM(321465,321473) = 103342317945 / 1
LCM(321465,321473) = 103342317945

(i) The LCM of 321473 and 321465 is associative

LCM of 321465 and 321473 = LCM of 321473 and 321465

1. What is the LCM of 321465 and 321473?

Answer: LCM of 321465 and 321473 is 103342317945.

2. 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.

3. What are the Factors of 321473?

Answer: Factors of 321473 are 1, 563, 571, 321473. There are 4 integers that are factors of 321473. The greatest factor of 321473 is 321473.

4. How to Find the LCM of 321465 and 321473?

Answer:

Least Common Multiple of 321465 and 321473 = 103342317945

Step 1: Find the prime factorization of 321465

321465 = 3 x 5 x 29 x 739

Step 2: Find the prime factorization of 321473

321473 = 563 x 571

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

LCM = 103342317945 = 3 x 5 x 29 x 563 x 571 x 739

Step 4: Therefore, the least common multiple of 321465 and 321473 is 103342317945.