Least Common Multiple of 321469 and 321474

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

• Least Common Multiple of 321469 and 321474 by Prime method
• Least Common Multiple of 321469 and 321474 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321469 and 321474. First we will calculate the prime factors of 321469 and 321474.

Prime Factorization of 321469

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

321469 = 321469¹

Prime Factorization of 321474

Prime factors of 321474 are 2, 3, 131,409. Prime factorization of 321474 in exponential form is:

321474 = 2¹×3¹×131¹×409¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321469 and 321474.

LCM(321469,321474) = 2¹×3¹×131¹×409¹×321469¹
LCM(321469,321474) = 103343925306

Factors of 321469

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

1, 321469

Factors of 321474

List of positive integer factors of 321474 that divides 321474 without a remainder.

1, 2, 3, 6, 131, 262, 393, 409, 786, 818, 1227, 2454, 53579, 107158, 160737, 321474

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321469 and 321474, than apply into the LCM equation.

GCF(321469,321474) = 1
LCM(321469,321474) = ( 321469 × 321474) / 1
LCM(321469,321474) = 103343925306 / 1
LCM(321469,321474) = 103343925306

(i) The LCM of 321474 and 321469 is associative

LCM of 321469 and 321474 = LCM of 321474 and 321469

1. What is the LCM of 321469 and 321474?

Answer: LCM of 321469 and 321474 is 103343925306.

2. 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.

3. What are the Factors of 321474?

Answer: Factors of 321474 are 1, 2, 3, 6, 131, 262, 393, 409, 786, 818, 1227, 2454, 53579, 107158, 160737, 321474. There are 16 integers that are factors of 321474. The greatest factor of 321474 is 321474.

4. How to Find the LCM of 321469 and 321474?

Answer:

Least Common Multiple of 321469 and 321474 = 103343925306

Step 1: Find the prime factorization of 321469

321469 = 321469

Step 2: Find the prime factorization of 321474

321474 = 2 x 3 x 131 x 409

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

LCM = 103343925306 = 2 x 3 x 131 x 409 x 321469

Step 4: Therefore, the least common multiple of 321469 and 321474 is 103343925306.