Least Common Multiple of 389 and 396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 389 and 396 the smallest integer that is 154044 that is divisible by both numbers.

Least Common Multiple (LCM) of 389 and 396 is 154044.

LCM(389,396) = 154044

LCM of 389 and 396

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

LCM of:
and

Least Common Multiple of 389 and 396

LCM of 389 and 396 is 154044

Least common multiple can be found by multiplying the highest exponent prime factors of 389 and 396. First we will calculate the prime factors of 389 and 396.

Prime Factorization of 389


389 389
1

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

389 = 3891

Prime Factorization of 396


2 396
2 198
3 99
3 33
11 11
1

Prime factors of 396 are 2, 3,11. Prime factorization of 396 in exponential form is:

396 = 22×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 389 and 396.

LCM(389,396) = 22×32×111×3891
LCM(389,396) = 154044

Factors of 389

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

1, 389

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Least Common Multiple of 389 and 396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 389 and 396, than apply into the LCM equation.

GCF(389,396) = 1
LCM(389,396) = ( 389 × 396) / 1
LCM(389,396) = 154044 / 1
LCM(389,396) = 154044

Properties of LCM 389 and 396

(i) The LCM of 396 and 389 is associative

LCM of 389 and 396 = LCM of 396 and 389

Related Least Common Multiples of 389

Related Least Common Multiples of 396

Frequently Asked Questions on LCM of 389 and 396

1. What is the LCM of 389 and 396?

Answer: LCM of 389 and 396 is 154044.

2. 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.

3. What are the Factors of 396?

Answer: Factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. There are 18 integers that are factors of 396. The greatest factor of 396 is 396.

4. How to Find the LCM of 389 and 396?

Answer:

Least Common Multiple of 389 and 396 = 154044

Step 1: Find the prime factorization of 389

389 = 389

Step 2: Find the prime factorization of 396

396 = 2 x 2 x 3 x 3 x 11

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

LCM = 154044 = 2 x 2 x 3 x 3 x 11 x 389

Step 4: Therefore, the least common multiple of 389 and 396 is 154044.