Least Common Multiple of 385 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 385 and 386 the smallest integer that is 148610 that is divisible by both numbers.

Least Common Multiple (LCM) of 385 and 386 is 148610.

LCM(385,386) = 148610

LCM of 385 and 386

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

LCM of:
and

Least Common Multiple of 385 and 386

LCM of 385 and 386 is 148610

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 386. First we will calculate the prime factors of 385 and 386.

Prime Factorization of 385


5 385
7 77
11 11
1

Prime factors of 385 are 5, 7,11. Prime factorization of 385 in exponential form is:

385 = 51×71×111

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 385 and 386.

LCM(385,386) = 21×51×71×111×1931
LCM(385,386) = 148610

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Factors of 386

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

1, 2, 193, 386

Least Common Multiple of 385 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 385 and 386, than apply into the LCM equation.

GCF(385,386) = 1
LCM(385,386) = ( 385 × 386) / 1
LCM(385,386) = 148610 / 1
LCM(385,386) = 148610

Properties of LCM 385 and 386

(i) The LCM of 386 and 385 is associative

LCM of 385 and 386 = LCM of 386 and 385

Related Least Common Multiples of 385

Related Least Common Multiples of 386

Frequently Asked Questions on LCM of 385 and 386

1. What is the LCM of 385 and 386?

Answer: LCM of 385 and 386 is 148610.

2. What are the Factors of 385?

Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.

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 385 and 386?

Answer:

Least Common Multiple of 385 and 386 = 148610

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

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 = 148610 = 2 x 5 x 7 x 11 x 193

Step 4: Therefore, the least common multiple of 385 and 386 is 148610.