Least Common Multiple of 386 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 386 and 390 the smallest integer that is 75270 that is divisible by both numbers.

Least Common Multiple (LCM) of 386 and 390 is 75270.

LCM(386,390) = 75270

LCM of 386 and 390

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

LCM of:
and

Least Common Multiple of 386 and 390

LCM of 386 and 390 is 75270

Least common multiple can be found by multiplying the highest exponent prime factors of 386 and 390. First we will calculate the prime factors of 386 and 390.

Prime Factorization of 386


2 386
193 193
1

Prime factors of 386 are 2,193. Prime factorization of 386 in exponential form is:

386 = 21×1931

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 386 and 390.

LCM(386,390) = 21×31×51×131×1931
LCM(386,390) = 75270

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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 386 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 386 and 390, than apply into the LCM equation.

GCF(386,390) = 2
LCM(386,390) = ( 386 × 390) / 2
LCM(386,390) = 150540 / 2
LCM(386,390) = 75270

Properties of LCM 386 and 390

(i) The LCM of 390 and 386 is associative

LCM of 386 and 390 = LCM of 390 and 386

Related Least Common Multiples of 386

Related Least Common Multiples of 390

Frequently Asked Questions on LCM of 386 and 390

1. What is the LCM of 386 and 390?

Answer: LCM of 386 and 390 is 75270.

2. What are the Factors of 386?

Answer: Factors of 386 are 1, 2, 193, 386. There are 4 integers that are factors of 386. The greatest factor of 386 is 386.

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 386 and 390?

Answer:

Least Common Multiple of 386 and 390 = 75270

Step 1: Find the prime factorization of 386

386 = 2 x 193

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 = 75270 = 2 x 3 x 5 x 13 x 193

Step 4: Therefore, the least common multiple of 386 and 390 is 75270.