Least Common Multiple of 386 and 392

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 392 the smallest integer that is 75656 that is divisible by both numbers.

Least Common Multiple (LCM) of 386 and 392 is 75656.

LCM(386,392) = 75656

LCM of 386 and 392

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

LCM of:
and

Least Common Multiple of 386 and 392

LCM of 386 and 392 is 75656

Least common multiple can be found by multiplying the highest exponent prime factors of 386 and 392. First we will calculate the prime factors of 386 and 392.

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 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

Now multiplying the highest exponent prime factors to calculate the LCM of 386 and 392.

LCM(386,392) = 23×72×1931
LCM(386,392) = 75656

Factors of 386

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

1, 2, 193, 386

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Least Common Multiple of 386 and 392 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 392, than apply into the LCM equation.

GCF(386,392) = 2
LCM(386,392) = ( 386 × 392) / 2
LCM(386,392) = 151312 / 2
LCM(386,392) = 75656

Properties of LCM 386 and 392

(i) The LCM of 392 and 386 is associative

LCM of 386 and 392 = LCM of 392 and 386

Related Least Common Multiples of 386

Related Least Common Multiples of 392

Frequently Asked Questions on LCM of 386 and 392

1. What is the LCM of 386 and 392?

Answer: LCM of 386 and 392 is 75656.

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 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

4. How to Find the LCM of 386 and 392?

Answer:

Least Common Multiple of 386 and 392 = 75656

Step 1: Find the prime factorization of 386

386 = 2 x 193

Step 2: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

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

LCM = 75656 = 2 x 2 x 2 x 7 x 7 x 193

Step 4: Therefore, the least common multiple of 386 and 392 is 75656.