Least Common Multiple of 389 and 394

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 394 the smallest integer that is 153266 that is divisible by both numbers.

Least Common Multiple (LCM) of 389 and 394 is 153266.

LCM(389,394) = 153266

LCM of 389 and 394

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

LCM of:
and

Least Common Multiple of 389 and 394

LCM of 389 and 394 is 153266

Least common multiple can be found by multiplying the highest exponent prime factors of 389 and 394. First we will calculate the prime factors of 389 and 394.

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 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 389 and 394.

LCM(389,394) = 21×1971×3891
LCM(389,394) = 153266

Factors of 389

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

1, 389

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Least Common Multiple of 389 and 394 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 394, than apply into the LCM equation.

GCF(389,394) = 1
LCM(389,394) = ( 389 × 394) / 1
LCM(389,394) = 153266 / 1
LCM(389,394) = 153266

Properties of LCM 389 and 394

(i) The LCM of 394 and 389 is associative

LCM of 389 and 394 = LCM of 394 and 389

Related Least Common Multiples of 389

Related Least Common Multiples of 394

Frequently Asked Questions on LCM of 389 and 394

1. What is the LCM of 389 and 394?

Answer: LCM of 389 and 394 is 153266.

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 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

4. How to Find the LCM of 389 and 394?

Answer:

Least Common Multiple of 389 and 394 = 153266

Step 1: Find the prime factorization of 389

389 = 389

Step 2: Find the prime factorization of 394

394 = 2 x 197

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

LCM = 153266 = 2 x 197 x 389

Step 4: Therefore, the least common multiple of 389 and 394 is 153266.