Least Common Multiple of 8380 and 8387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8380 and 8387 the smallest integer that is 70283060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8380 and 8387 is 70283060.

LCM(8380,8387) = 70283060

LCM of 8380 and 8387

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

LCM of:
and

Least Common Multiple of 8380 and 8387

LCM of 8380 and 8387 is 70283060

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8387. First we will calculate the prime factors of 8380 and 8387.

Prime Factorization of 8380


2 8380
2 4190
5 2095
419 419
1

Prime factors of 8380 are 2, 5,419. Prime factorization of 8380 in exponential form is:

8380 = 22×51×4191

Prime Factorization of 8387


8387 8387
1

Prime factors of 8387 are 8387. Prime factorization of 8387 in exponential form is:

8387 = 83871

Now multiplying the highest exponent prime factors to calculate the LCM of 8380 and 8387.

LCM(8380,8387) = 22×51×4191×83871
LCM(8380,8387) = 70283060

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380

Factors of 8387

List of positive integer factors of 8387 that divides 8387 without a remainder.

1, 8387

Least Common Multiple of 8380 and 8387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8380 and 8387, than apply into the LCM equation.

GCF(8380,8387) = 1
LCM(8380,8387) = ( 8380 × 8387) / 1
LCM(8380,8387) = 70283060 / 1
LCM(8380,8387) = 70283060

Properties of LCM 8380 and 8387

(i) The LCM of 8387 and 8380 is associative

LCM of 8380 and 8387 = LCM of 8387 and 8380

Related Least Common Multiples of 8380

Related Least Common Multiples of 8387

Frequently Asked Questions on LCM of 8380 and 8387

1. What is the LCM of 8380 and 8387?

Answer: LCM of 8380 and 8387 is 70283060.

2. What are the Factors of 8380?

Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.

3. What are the Factors of 8387?

Answer: Factors of 8387 are 1, 8387. There are 2 integers that are factors of 8387. The greatest factor of 8387 is 8387.

4. How to Find the LCM of 8380 and 8387?

Answer:

Least Common Multiple of 8380 and 8387 = 70283060

Step 1: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

Step 2: Find the prime factorization of 8387

8387 = 8387

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

LCM = 70283060 = 2 x 2 x 5 x 419 x 8387

Step 4: Therefore, the least common multiple of 8380 and 8387 is 70283060.