Least Common Multiple of 386 and 389

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 389 the smallest integer that is 150154 that is divisible by both numbers.

Least Common Multiple (LCM) of 386 and 389 is 150154.

LCM(386,389) = 150154

LCM of 386 and 389

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

LCM of:
and

Least Common Multiple of 386 and 389

LCM of 386 and 389 is 150154

Least common multiple can be found by multiplying the highest exponent prime factors of 386 and 389. First we will calculate the prime factors of 386 and 389.

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 389


389 389
1

Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:

389 = 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 386 and 389.

LCM(386,389) = 21×1931×3891
LCM(386,389) = 150154

Factors of 386

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

1, 2, 193, 386

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1, 389

Least Common Multiple of 386 and 389 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 389, than apply into the LCM equation.

GCF(386,389) = 1
LCM(386,389) = ( 386 × 389) / 1
LCM(386,389) = 150154 / 1
LCM(386,389) = 150154

Properties of LCM 386 and 389

(i) The LCM of 389 and 386 is associative

LCM of 386 and 389 = LCM of 389 and 386

Related Least Common Multiples of 386

Related Least Common Multiples of 389

Frequently Asked Questions on LCM of 386 and 389

1. What is the LCM of 386 and 389?

Answer: LCM of 386 and 389 is 150154.

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 389?

Answer: Factors of 389 are 1, 389. There are 2 integers that are factors of 389. The greatest factor of 389 is 389.

4. How to Find the LCM of 386 and 389?

Answer:

Least Common Multiple of 386 and 389 = 150154

Step 1: Find the prime factorization of 386

386 = 2 x 193

Step 2: Find the prime factorization of 389

389 = 389

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

LCM = 150154 = 2 x 193 x 389

Step 4: Therefore, the least common multiple of 386 and 389 is 150154.