Least Common Multiple of 382 and 390

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 390 the smallest integer that is 74490 that is divisible by both numbers.

Least Common Multiple (LCM) of 382 and 390 is 74490.

LCM(382,390) = 74490

LCM of 382 and 390

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

LCM of:
and

Least Common Multiple of 382 and 390

LCM of 382 and 390 is 74490

Least common multiple can be found by multiplying the highest exponent prime factors of 382 and 390. First we will calculate the prime factors of 382 and 390.

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 390


2 390
3 195
5 65
13 13
1

Prime factors of 390 are 2, 3, 5,13. Prime factorization of 390 in exponential form is:

390 = 21×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 382 and 390.

LCM(382,390) = 21×31×51×131×1911
LCM(382,390) = 74490

Factors of 382

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

1, 2, 191, 382

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Least Common Multiple of 382 and 390 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 390, than apply into the LCM equation.

GCF(382,390) = 2
LCM(382,390) = ( 382 × 390) / 2
LCM(382,390) = 148980 / 2
LCM(382,390) = 74490

Properties of LCM 382 and 390

(i) The LCM of 390 and 382 is associative

LCM of 382 and 390 = LCM of 390 and 382

Related Least Common Multiples of 382

Related Least Common Multiples of 390

Frequently Asked Questions on LCM of 382 and 390

1. What is the LCM of 382 and 390?

Answer: LCM of 382 and 390 is 74490.

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 390?

Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.

4. How to Find the LCM of 382 and 390?

Answer:

Least Common Multiple of 382 and 390 = 74490

Step 1: Find the prime factorization of 382

382 = 2 x 191

Step 2: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

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

LCM = 74490 = 2 x 3 x 5 x 13 x 191

Step 4: Therefore, the least common multiple of 382 and 390 is 74490.