Least Common Multiple of 382 and 387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 382 and 387 the smallest integer that is 147834 that is divisible by both numbers.

Least Common Multiple (LCM) of 382 and 387 is 147834.

LCM(382,387) = 147834

LCM of 382 and 387

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

LCM of:
and

Least Common Multiple of 382 and 387

LCM of 382 and 387 is 147834

Least common multiple can be found by multiplying the highest exponent prime factors of 382 and 387. First we will calculate the prime factors of 382 and 387.

Prime Factorization of 382


2 382
191 191
1

Prime factors of 382 are 2,191. Prime factorization of 382 in exponential form is:

382 = 21×1911

Prime Factorization of 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 382 and 387.

LCM(382,387) = 21×32×431×1911
LCM(382,387) = 147834

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Least Common Multiple of 382 and 387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 382 and 387, than apply into the LCM equation.

GCF(382,387) = 1
LCM(382,387) = ( 382 × 387) / 1
LCM(382,387) = 147834 / 1
LCM(382,387) = 147834

Properties of LCM 382 and 387

(i) The LCM of 387 and 382 is associative

LCM of 382 and 387 = LCM of 387 and 382

Related Least Common Multiples of 382

Related Least Common Multiples of 387

Frequently Asked Questions on LCM of 382 and 387

1. What is the LCM of 382 and 387?

Answer: LCM of 382 and 387 is 147834.

2. What are the Factors of 382?

Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.

3. What are the Factors of 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

4. How to Find the LCM of 382 and 387?

Answer:

Least Common Multiple of 382 and 387 = 147834

Step 1: Find the prime factorization of 382

382 = 2 x 191

Step 2: Find the prime factorization of 387

387 = 3 x 3 x 43

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

LCM = 147834 = 2 x 3 x 3 x 43 x 191

Step 4: Therefore, the least common multiple of 382 and 387 is 147834.