Least Common Multiple of 82380 and 82387

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

• Least Common Multiple of 82380 and 82387 by Prime method
• Least Common Multiple of 82380 and 82387 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82380 and 82387. First we will calculate the prime factors of 82380 and 82387.

Prime Factorization of 82380

Prime factors of 82380 are 2, 3, 5,1373. Prime factorization of 82380 in exponential form is:

82380 = 2²×3¹×5¹×1373¹

Prime Factorization of 82387

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

82387 = 82387¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82380 and 82387.

LCM(82380,82387) = 2²×3¹×5¹×1373¹×82387¹
LCM(82380,82387) = 6787041060

Factors of 82380

List of positive integer factors of 82380 that divides 82380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1373, 2746, 4119, 5492, 6865, 8238, 13730, 16476, 20595, 27460, 41190, 82380

Factors of 82387

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

1, 82387

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82380 and 82387, than apply into the LCM equation.

GCF(82380,82387) = 1
LCM(82380,82387) = ( 82380 × 82387) / 1
LCM(82380,82387) = 6787041060 / 1
LCM(82380,82387) = 6787041060

(i) The LCM of 82387 and 82380 is associative

LCM of 82380 and 82387 = LCM of 82387 and 82380

1. What is the LCM of 82380 and 82387?

Answer: LCM of 82380 and 82387 is 6787041060.

2. What are the Factors of 82380?

Answer: Factors of 82380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1373, 2746, 4119, 5492, 6865, 8238, 13730, 16476, 20595, 27460, 41190, 82380. There are 24 integers that are factors of 82380. The greatest factor of 82380 is 82380.

3. 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.

4. How to Find the LCM of 82380 and 82387?

Answer:

Least Common Multiple of 82380 and 82387 = 6787041060

Step 1: Find the prime factorization of 82380

82380 = 2 x 2 x 3 x 5 x 1373

Step 2: Find the prime factorization of 82387

82387 = 82387

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

LCM = 6787041060 = 2 x 2 x 3 x 5 x 1373 x 82387

Step 4: Therefore, the least common multiple of 82380 and 82387 is 6787041060.