Least Common Multiple of 384 and 386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 384 and 386 the smallest integer that is 74112 that is divisible by both numbers.

Least Common Multiple (LCM) of 384 and 386 is 74112.

LCM(384,386) = 74112

LCM of 384 and 386

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

LCM of:
and

Least Common Multiple of 384 and 386

LCM of 384 and 386 is 74112

Least common multiple can be found by multiplying the highest exponent prime factors of 384 and 386. First we will calculate the prime factors of 384 and 386.

Prime Factorization of 384


2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 384 are 2,3. Prime factorization of 384 in exponential form is:

384 = 27×31

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

Now multiplying the highest exponent prime factors to calculate the LCM of 384 and 386.

LCM(384,386) = 27×31×1931
LCM(384,386) = 74112

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Factors of 386

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

1, 2, 193, 386

Least Common Multiple of 384 and 386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 384 and 386, than apply into the LCM equation.

GCF(384,386) = 2
LCM(384,386) = ( 384 × 386) / 2
LCM(384,386) = 148224 / 2
LCM(384,386) = 74112

Properties of LCM 384 and 386

(i) The LCM of 386 and 384 is associative

LCM of 384 and 386 = LCM of 386 and 384

Related Least Common Multiples of 384

Related Least Common Multiples of 386

Frequently Asked Questions on LCM of 384 and 386

1. What is the LCM of 384 and 386?

Answer: LCM of 384 and 386 is 74112.

2. What are the Factors of 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

3. 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.

4. How to Find the LCM of 384 and 386?

Answer:

Least Common Multiple of 384 and 386 = 74112

Step 1: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 386

386 = 2 x 193

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

LCM = 74112 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 193

Step 4: Therefore, the least common multiple of 384 and 386 is 74112.