Least Common Multiple of 389 and 397

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 397 the smallest integer that is 154433 that is divisible by both numbers.

Least Common Multiple (LCM) of 389 and 397 is 154433.

LCM(389,397) = 154433

LCM of 389 and 397

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

LCM of:
and

Least Common Multiple of 389 and 397

LCM of 389 and 397 is 154433

Least common multiple can be found by multiplying the highest exponent prime factors of 389 and 397. First we will calculate the prime factors of 389 and 397.

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 397


397 397
1

Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:

397 = 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 389 and 397.

LCM(389,397) = 3891×3971
LCM(389,397) = 154433

Factors of 389

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

1, 389

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1, 397

Least Common Multiple of 389 and 397 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 397, than apply into the LCM equation.

GCF(389,397) = 1
LCM(389,397) = ( 389 × 397) / 1
LCM(389,397) = 154433 / 1
LCM(389,397) = 154433

Properties of LCM 389 and 397

(i) The LCM of 397 and 389 is associative

LCM of 389 and 397 = LCM of 397 and 389

Related Least Common Multiples of 389

Related Least Common Multiples of 397

Frequently Asked Questions on LCM of 389 and 397

1. What is the LCM of 389 and 397?

Answer: LCM of 389 and 397 is 154433.

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 397?

Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.

4. How to Find the LCM of 389 and 397?

Answer:

Least Common Multiple of 389 and 397 = 154433

Step 1: Find the prime factorization of 389

389 = 389

Step 2: Find the prime factorization of 397

397 = 397

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

LCM = 154433 = 389 x 397

Step 4: Therefore, the least common multiple of 389 and 397 is 154433.