Least Common Multiple of 321465 and 321469

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

• Least Common Multiple of 321465 and 321469 by Prime method
• Least Common Multiple of 321465 and 321469 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321465 and 321469. First we will calculate the prime factors of 321465 and 321469.

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 321469

Prime factors of 321469 are 321469. Prime factorization of 321469 in exponential form is:

321469 = 321469¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321465 and 321469.

LCM(321465,321469) = 3¹×5¹×29¹×739¹×321469¹
LCM(321465,321469) = 103341032085

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 321469

List of positive integer factors of 321469 that divides 321469 without a remainder.

1, 321469

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321465 and 321469, than apply into the LCM equation.

GCF(321465,321469) = 1
LCM(321465,321469) = ( 321465 × 321469) / 1
LCM(321465,321469) = 103341032085 / 1
LCM(321465,321469) = 103341032085

(i) The LCM of 321469 and 321465 is associative

LCM of 321465 and 321469 = LCM of 321469 and 321465

1. What is the LCM of 321465 and 321469?

Answer: LCM of 321465 and 321469 is 103341032085.

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 321469?

Answer: Factors of 321469 are 1, 321469. There are 2 integers that are factors of 321469. The greatest factor of 321469 is 321469.

4. How to Find the LCM of 321465 and 321469?

Answer:

Least Common Multiple of 321465 and 321469 = 103341032085

Step 1: Find the prime factorization of 321465

321465 = 3 x 5 x 29 x 739

Step 2: Find the prime factorization of 321469

321469 = 321469

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

LCM = 103341032085 = 3 x 5 x 29 x 739 x 321469

Step 4: Therefore, the least common multiple of 321465 and 321469 is 103341032085.