Least Common Multiple of 82387 and 82394

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

• Least Common Multiple of 82387 and 82394 by Prime method
• Least Common Multiple of 82387 and 82394 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82387 and 82394. First we will calculate the prime factors of 82387 and 82394.

Prime Factorization of 82387

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

82387 = 82387¹

Prime Factorization of 82394

Prime factors of 82394 are 2, 13,3169. Prime factorization of 82394 in exponential form is:

82394 = 2¹×13¹×3169¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82387 and 82394.

LCM(82387,82394) = 2¹×13¹×3169¹×82387¹
LCM(82387,82394) = 6788194478

Factors of 82387

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

1, 82387

Factors of 82394

List of positive integer factors of 82394 that divides 82394 without a remainder.

1, 2, 13, 26, 3169, 6338, 41197, 82394

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82387 and 82394, than apply into the LCM equation.

GCF(82387,82394) = 1
LCM(82387,82394) = ( 82387 × 82394) / 1
LCM(82387,82394) = 6788194478 / 1
LCM(82387,82394) = 6788194478

(i) The LCM of 82394 and 82387 is associative

LCM of 82387 and 82394 = LCM of 82394 and 82387

1. What is the LCM of 82387 and 82394?

Answer: LCM of 82387 and 82394 is 6788194478.

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 82394?

Answer: Factors of 82394 are 1, 2, 13, 26, 3169, 6338, 41197, 82394. There are 8 integers that are factors of 82394. The greatest factor of 82394 is 82394.

4. How to Find the LCM of 82387 and 82394?

Answer:

Least Common Multiple of 82387 and 82394 = 6788194478

Step 1: Find the prime factorization of 82387

82387 = 82387

Step 2: Find the prime factorization of 82394

82394 = 2 x 13 x 3169

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

LCM = 6788194478 = 2 x 13 x 3169 x 82387

Step 4: Therefore, the least common multiple of 82387 and 82394 is 6788194478.