Least Common Multiple of 82367 and 82372

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

• Least Common Multiple of 82367 and 82372 by Prime method
• Least Common Multiple of 82367 and 82372 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82367 and 82372. First we will calculate the prime factors of 82367 and 82372.

Prime Factorization of 82367

Prime factors of 82367 are 31,2657. Prime factorization of 82367 in exponential form is:

82367 = 31¹×2657¹

Prime Factorization of 82372

Prime factors of 82372 are 2,20593. Prime factorization of 82372 in exponential form is:

82372 = 2²×20593¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82367 and 82372.

LCM(82367,82372) = 2²×31¹×2657¹×20593¹
LCM(82367,82372) = 6784734524

Factors of 82367

List of positive integer factors of 82367 that divides 82367 without a remainder.

1, 31, 2657, 82367

Factors of 82372

List of positive integer factors of 82372 that divides 82372 without a remainder.

1, 2, 4, 20593, 41186, 82372

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82367 and 82372, than apply into the LCM equation.

GCF(82367,82372) = 1
LCM(82367,82372) = ( 82367 × 82372) / 1
LCM(82367,82372) = 6784734524 / 1
LCM(82367,82372) = 6784734524

(i) The LCM of 82372 and 82367 is associative

LCM of 82367 and 82372 = LCM of 82372 and 82367

1. What is the LCM of 82367 and 82372?

Answer: LCM of 82367 and 82372 is 6784734524.

2. What are the Factors of 82367?

Answer: Factors of 82367 are 1, 31, 2657, 82367. There are 4 integers that are factors of 82367. The greatest factor of 82367 is 82367.

3. What are the Factors of 82372?

Answer: Factors of 82372 are 1, 2, 4, 20593, 41186, 82372. There are 6 integers that are factors of 82372. The greatest factor of 82372 is 82372.

4. How to Find the LCM of 82367 and 82372?

Answer:

Least Common Multiple of 82367 and 82372 = 6784734524

Step 1: Find the prime factorization of 82367

82367 = 31 x 2657

Step 2: Find the prime factorization of 82372

82372 = 2 x 2 x 20593

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

LCM = 6784734524 = 2 x 2 x 31 x 2657 x 20593

Step 4: Therefore, the least common multiple of 82367 and 82372 is 6784734524.