Least Common Multiple of 386 and 393

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 393 the smallest integer that is 151698 that is divisible by both numbers.

Least Common Multiple (LCM) of 386 and 393 is 151698.

LCM(386,393) = 151698

LCM of 386 and 393

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

LCM of:
and

Least Common Multiple of 386 and 393

LCM of 386 and 393 is 151698

Least common multiple can be found by multiplying the highest exponent prime factors of 386 and 393. First we will calculate the prime factors of 386 and 393.

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 393


3 393
131 131
1

Prime factors of 393 are 3,131. Prime factorization of 393 in exponential form is:

393 = 31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 386 and 393.

LCM(386,393) = 21×31×1311×1931
LCM(386,393) = 151698

Factors of 386

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

1, 2, 193, 386

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Least Common Multiple of 386 and 393 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 393, than apply into the LCM equation.

GCF(386,393) = 1
LCM(386,393) = ( 386 × 393) / 1
LCM(386,393) = 151698 / 1
LCM(386,393) = 151698

Properties of LCM 386 and 393

(i) The LCM of 393 and 386 is associative

LCM of 386 and 393 = LCM of 393 and 386

Related Least Common Multiples of 386

Related Least Common Multiples of 393

Frequently Asked Questions on LCM of 386 and 393

1. What is the LCM of 386 and 393?

Answer: LCM of 386 and 393 is 151698.

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 393?

Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.

4. How to Find the LCM of 386 and 393?

Answer:

Least Common Multiple of 386 and 393 = 151698

Step 1: Find the prime factorization of 386

386 = 2 x 193

Step 2: Find the prime factorization of 393

393 = 3 x 131

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

LCM = 151698 = 2 x 3 x 131 x 193

Step 4: Therefore, the least common multiple of 386 and 393 is 151698.