Least Common Multiple of 8439 and 8446

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

• Least Common Multiple of 8439 and 8446 by Prime method
• Least Common Multiple of 8439 and 8446 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8439 and 8446. First we will calculate the prime factors of 8439 and 8446.

Prime Factorization of 8439

Prime factors of 8439 are 3, 29,97. Prime factorization of 8439 in exponential form is:

8439 = 3¹×29¹×97¹

Prime Factorization of 8446

Prime factors of 8446 are 2, 41,103. Prime factorization of 8446 in exponential form is:

8446 = 2¹×41¹×103¹

Now multiplying the highest exponent prime factors to calculate the LCM of 8439 and 8446.

LCM(8439,8446) = 2¹×3¹×29¹×41¹×97¹×103¹
LCM(8439,8446) = 71275794

Factors of 8439

List of positive integer factors of 8439 that divides 8439 without a remainder.

1, 3, 29, 87, 97, 291, 2813, 8439

Factors of 8446

List of positive integer factors of 8446 that divides 8446 without a remainder.

1, 2, 41, 82, 103, 206, 4223, 8446

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8439 and 8446, than apply into the LCM equation.

GCF(8439,8446) = 1
LCM(8439,8446) = ( 8439 × 8446) / 1
LCM(8439,8446) = 71275794 / 1
LCM(8439,8446) = 71275794

(i) The LCM of 8446 and 8439 is associative

LCM of 8439 and 8446 = LCM of 8446 and 8439

1. What is the LCM of 8439 and 8446?

Answer: LCM of 8439 and 8446 is 71275794.

2. What are the Factors of 8439?

Answer: Factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439. There are 8 integers that are factors of 8439. The greatest factor of 8439 is 8439.

3. What are the Factors of 8446?

Answer: Factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446. There are 8 integers that are factors of 8446. The greatest factor of 8446 is 8446.

4. How to Find the LCM of 8439 and 8446?

Answer:

Least Common Multiple of 8439 and 8446 = 71275794

Step 1: Find the prime factorization of 8439

8439 = 3 x 29 x 97

Step 2: Find the prime factorization of 8446

8446 = 2 x 41 x 103

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

LCM = 71275794 = 2 x 3 x 29 x 41 x 97 x 103

Step 4: Therefore, the least common multiple of 8439 and 8446 is 71275794.