Least Common Multiple of 82387 and 82395

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

• Least Common Multiple of 82387 and 82395 by Prime method
• Least Common Multiple of 82387 and 82395 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82387 and 82395. First we will calculate the prime factors of 82387 and 82395.

Prime Factorization of 82387

Prime factors of 82387 are 82387. Prime factorization of 82387 in exponential form is:

82387 = 82387¹

Prime Factorization of 82395

Prime factors of 82395 are 3, 5,1831. Prime factorization of 82395 in exponential form is:

82395 = 3²×5¹×1831¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82387 and 82395.

LCM(82387,82395) = 3²×5¹×1831¹×82387¹
LCM(82387,82395) = 6788276865

Factors of 82387

List of positive integer factors of 82387 that divides 82387 without a remainder.

1, 82387

Factors of 82395

List of positive integer factors of 82395 that divides 82395 without a remainder.

1, 3, 5, 9, 15, 45, 1831, 5493, 9155, 16479, 27465, 82395

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82387 and 82395, than apply into the LCM equation.

GCF(82387,82395) = 1
LCM(82387,82395) = ( 82387 × 82395) / 1
LCM(82387,82395) = 6788276865 / 1
LCM(82387,82395) = 6788276865

(i) The LCM of 82395 and 82387 is associative

LCM of 82387 and 82395 = LCM of 82395 and 82387

1. What is the LCM of 82387 and 82395?

Answer: LCM of 82387 and 82395 is 6788276865.

2. What are the Factors of 82387?

Answer: Factors of 82387 are 1, 82387. There are 2 integers that are factors of 82387. The greatest factor of 82387 is 82387.

3. What are the Factors of 82395?

Answer: Factors of 82395 are 1, 3, 5, 9, 15, 45, 1831, 5493, 9155, 16479, 27465, 82395. There are 12 integers that are factors of 82395. The greatest factor of 82395 is 82395.

4. How to Find the LCM of 82387 and 82395?

Answer:

Least Common Multiple of 82387 and 82395 = 6788276865

Step 1: Find the prime factorization of 82387

82387 = 82387

Step 2: Find the prime factorization of 82395

82395 = 3 x 3 x 5 x 1831

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

LCM = 6788276865 = 3 x 3 x 5 x 1831 x 82387

Step 4: Therefore, the least common multiple of 82387 and 82395 is 6788276865.